# How To Find A1 And D In An 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 D in arithmetic sequence?

An arithmetic sequence can be defined by an explicit formula in which an = d (n – 1) + c, where d is the common difference between consecutive terms, and c = a1.

## What is a1 in sequence?

Definition of an arithmetic sequence: A sequence is said to be arithmetic if each term, after the first, is obtained from the preceding term by adding a common value. “The nth term of an arithmetic sequence is an = a1 + (n – 1) d, where a1 is the first term and d is the common difference.”

## What is nth term?

The nth term is a formula that enables us to find any term in a sequence. The ‘n’ stands for the term number. To find the 10th term we would follow the formula for the sequence but substitute 10 instead of ‘n’; to find the 50th term we would substitute 50 instead of n.

## What is the Sn formula?

Sn = a + (a + d)+(a + 2d) + + (ℓ − 2d)+(ℓ − d) + ℓ. 2 n(a + ℓ). We have found the sum of an arithmetic progression in terms of its first and last terms, a and ℓ, and the number of terms n.

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You might be interested:  What An Arithmetic Sequence? (Solved)

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