Question

What is the 55 55th term of the sequence an=−1+3(n−1)

Answer 1

Given an arithmetic sequence with the first term and the common difference , the (or general) term is given by a n = a 1 + ( n − 1 ) d . Example 1: Find the term of the arithmetic sequence 5 , 8 , 11 , 54 , ... . a n = a 1 + ( n − 1 ) d to obtain a system of linear equations in terms of and .

Explanation:

Answer 2

The value of 55th term a₅₅ = 161

Explanation:

It is given that,

aₙ = −1 + 3(n − 1)

To find 55th term

To find the 55th term we have to substitute 55 instead of n in the expression of an.

aₙ = −1 + 3(n − 1)

a₅₅ = −1 + 3(n − 1) = -1 + 3( 55 - 1)

= -1 + 3 * 54 = -1 + 162

= 161

Therefore the value of 55th term a₅₅ = 161