What is the sum of a 34-term arithmetic sequence where the first term is 14 and the last term is 146?

jorgejasso85xvx

jorgejasso85xvx

Answered question

2022-11-04

What is the sum of a 34-term arithmetic sequence where the first term is 14 and the last term is 146?

Answer & Explanation

brulotfao

brulotfao

Beginner2022-11-05Added 16 answers

The formula for sum of an Arithmetic Sequence when the first term a 1 , number of terms n and last term a n are given is:
S u m = ( n 2 ) ( a 1 + a n )
Here: a 1 = 14 , a n = 146 , n = 34
= 34 2 ( 14 + 146 )
= 17 × 160
= 2720

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