Find the 97th term of the arithmetic sequence 17, 26, 35, ...

asked Aug 1, 2021 170k views

2 votes

by Nezir

7.9k points

Please log in or register to add a comment.

6 votes

Answer:

881

Explanation:

Arithmetic sequences can be written as:

$a_n = a_1 + (n-1)d\\a_1 \: is \: 17\\a_n = 17 + (n-1)d\\$

The second term is 26,

$26 = 17 + (2-1)d\\9 = 1d\\d = 9\\a_n = 17 + (n-1)*9\\a_n = 17 + 9n - 9\\a_n = 8 + 9n$

So, the
97^t^h term is

$a_9_7 = 8 + 9(97)\\a_9_7 = 8 + 873\\a_9_7 = 881$

AndrewSB answered Aug 5, 2021

8.5k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.3m questions

12.0m answers