Identify The 42Nd Term Of An Arithmetic Sequence Where A1 = −12 And A27 = 66?

The 42nd term of the arithmetic sequence where a1 = -12 and a27 = 66 is a42 = 111.

How do you find a term of an arithmetic sequence?

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

What is the fourth term of the arithmetic sequence?

In an arithmetic sequence. 4th term = a+3d. Where a= first term and d= common difference. In a geometric sequence. 4th term = ar^3.

What is the formula to find a1 in arithmetic sequence?

If a1 is the first term of an arithmetic sequence and d is the common difference, then the formula for finding the nth term of the sequence is an = a1 + (n – 1)d. We have been given a1 = 5 and d = 15.

What is the 32nd term of the arithmetic sequence where a1 − 32 and a9 − 120?

The 32nd term of the arithmetic sequence where a1 = -32 and a9 = -120 is -373.

What is the 32nd term of the arithmetic where a1?

Summary: The 32nd term of the arithmetic sequence where a1 = -33 and a9 = -121 is -374.

Identify the 42nd term of an arithmetic sequence where a1 = −12 and a27 = 66

Recognize the 42nd term in an arithmetic series in which a1 = 12 and a27 = 66.

Answers

The answer is contained within a photograph. I’m only able to upload it to a file-hosting service because of technical limitations. Take a look at the picture below! The following is a step-by-step explanation: There are three terms in an Arithmetic sequence, which are as follows: area1, area1 + d, and area1 + 2d, where a1 is the first term and d is the common difference. Therefore, for this sequence, the common difference equals: (66-12)26= (66-12)26= 78/26= three, and the common difference equals (a27 – a1)/26= three, and the common difference equals three.

111 The following is a step-by-step explanation: It is assumed that and, as a result, ⇒⇒⇒ The value of will consequently be:=As a result, C is the most appropriate choice.

  • A1 = -12 a2 = a1+d = -12+d A1 = -12 a2 = a1+d = -12+d So: 26*d=66-12 26*d=78 d=78:26 26*d=66+12 26*d=78:26 26*d=3 26*d=78:3 26*d=78:26 d=3 26*d=78:26 in this case, a42 = a1+41*d = -12+41*3 = -12+123=111.
  • So, a1+26d= 66-12 +26d=66 26d=78 D=3 is the formula for a27, which is “a1 + 26d.” the formula for “a42=a1+41d” is as follows: a42= a1+41d a42= -12 + 41*3 a42= 111 The arithmetic formula is written as a = a1 + d *(n-1), where n is an integer and an is a positive integer.
  • (27-1).
  • a42 equals 111 when using the formula.
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Identify the 42nd…

Free of charge, you may ask your own question! Mathematics OpenStudy (anonymous): Identify the 42nd term of an arithmetic series in where a1 = 12 and a27 = 66 are the first and second terms, respectively. Join the QuestionCove group and learn while studying with your classmates! OpenStudy (anonymous): Sign upOpenStudy (anonymous): first, find out what (d) is. As a result, I received a27=14xd=66 from OpenStudy. No, OpenStudy (anonymous) is not available. OpenStudy (anonymous): calculate the first linear equation as you would any other linear equation.

  1. OpenStudy (anonymous): add a 12 to all sides, then divide both sides by 26 to find the answer to the question (d) OpenStudy (anonymous):yeah d=3 (division by three).
  2. So the 42nd term is OpenStudy (anonymous):111?
  3. Join the QuestionCove group and learn while studying with your classmates!
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Identify the 42nd term of an arithmetic sequence where a1 = −12 and a27 = 66

Answer_x=15 The following is a step-by-step explanation: We are all aware that a right angle is 90 degrees in length. When we remove 30 degrees from 90 degrees, we obtain 60 degrees, which is the other, smaller angle to consider. After that, we divide 60 by 4 to arrive at 15. This means that x is equal to 15. Where y and x remain constant, the point slope form is defined asm (x a) where m is the slope and (a, b) (any position on the graph) is based on the point slope form (5, -7) The negative 7 is cancelled by the -, making I positive.

Y plus 7 equals -3 (x – 5) Answer:

  • Continue the arithmetic sequence in each column to add more information to the table. In order to make use of the table, either increase the third column to 45 or multiply the first row by 9 times.

Explanation in detail: The values in the first column represent an arithmetic sequence with a common difference of two. The numbers 6, 8, and 10 will be the following ones. The numbers in the second column represent an arithmetic sequence that has a common difference of three between them. The following few digits are going to be 9, 12, and 15. a sequence of integers in the third column that has a common difference of five is represented by these numbers. The numbers 15, 20, and 25 will be the ones that follow.

  1. When you increase the first row by 9, you get 18:27:45, which means that Mark will need 18 liters of blue paint and 27 liters of yellow paint in order to generate 45 liters of green paint.
  2. The following is a step-by-step explanation: The question is just a matter of subtracting fractions.
  3. 10-2=8.
  4. In order to accomplish this, you must make them equal.
  5. Now, 7/8 minus 2/8 equals 5/8.
  6. Congratulations!
  7. dad-26=cindycindy= dad-26dad=cindy+26 As a result, because Cindy is 18, Dad is 18+26=44B.
  8. In the case of dad =42C, 16=x cindy =16, and hence the number of years between them will always be 26.
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Identify the 42nd term of an arithmetic sequence where a1 = −12 and a27 = 66

ANSWER(S) 1. on occasion2. never the case 3. from time to time detailed explanation: If you know what supp right and com angles are, they are relatively self-explanatory, but if you don’t, keep reading. There is no graph to be found. detailed explanation: answer: what if I don’t want to reveal my work to anybody boi? detailed explanation: I’m now watching DbZ while munching popcorn. Please leave me alone. A1 = -12 and a27 = 66 are both valid. So, a1+26d= 66-12 +26d=66 26d=78 D=3 is the formula for a27, which is “a1 + 26d.” the formula for “a42=a1+41d” is as follows: a42= a1+41d a42= -12 + 41*3 a42= 111 The arithmetic formula is written as a = a1 + d *(n-1), where n is an integer and an is a positive integer.

If we substitute 66 for a1 = -12 and a27 = 66 in the following equations, we get 66 = -12 + d *. (27-1). As a result, using the formula, d equals 3. a42 equals 111 when using the formula. The final solution to this puzzle is the number 111.

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How to find the nth term of an arithmetic sequence – Algebra 1

When considering an arithmetic series, the first term is, and the fifth term is. What is the second slang phrase? The correct response is:Explanation: The formula may be used to determine the common difference. Isandis is the name we use. We now have a problem to solve. The second term is obtained by multiplying the first term by the common difference. When you add up the first three terms of an arithmetic sequence, you get 111; the sum of the fourth term gets you 49. What is the first phrase in the sentence?

  1. The correct response is:Explanation: Let us consider the common distinction, and let us consider the second term.
  2. We now know that the second period is 37 days long.
  3. The most often encountered difference is 6.
  4. The first character in an arithmetic sequence is.
  5. The fourth and tenth terms of an arithmetic series are 372 and 888, respectively.
  6. Let us consider the common difference in the series as our correct answer:Explanation: Then, alternatively, or equivalently, or alternatively, The ninth and tenth terms of an arithmetic series have the numbers 87 and 99, respectively, in their corresponding positions.
  7. The correct response is:Explanation: It is the difference between the tenth and ninth phrases in the sequence that is the most prevalent difference:.
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We put this equal to 87, and then proceed to solve: There are two terms in an arithmetic series that are the eighth and tenth terms, respectively: 87 and 99.

The correct response is: An explanation: The eighth and tenth terms of the series are and, where is the first term and is the common difference between the two terms.

The correct response is: Explanation: We must first discover a rule for this arithmetic series in order to be able to calculate the 100th term.

This is the crux of the matter.

Therefore,.

For the hundredth and last time, Thus To find any term in an arithmetic series, do the following: The first term is, is the number of terms to discover, and is the common difference between the first and last terms in the series Figure out which of the following arithmetic sequence’s 18th term is correct.

  1. Then, using the formula that was provided before the question, write: To find any term in an arithmetic series, use the following formula:where is the first term, is the number of terms to be found, and is the common difference between the terms in the sequence.
  2. Then, using the remainder of the equation provided before the question, complete the sentence.
  3. 1, 5, 9, 13,.
  4. Explanation: The eleventh term signifies that there are a total of ten intervals between the first term and the eleventh term.

The first of these terms is 1. Each subsequent term rises by a factor of four. The n thterm will be equal to 1 + (n – 1) where n is the number of terms (4). The eleventh term will be 1 + (11 – 1)(4)1 + (10)(4)1 + (10)(4)1 + (40)(4) = 1 + (40) = 41.

How to find the middle term of an arithmetic sequence

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