Find the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms

Chelsea Lamb

Chelsea Lamb

Answered question

2022-09-26

Find the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms

Answer & Explanation

Ashlynn Delacruz

Ashlynn Delacruz

Beginner2022-09-27Added 9 answers

The sum to n terms of an arithmetic sequence is found by using
S n = n 2 [ 2 a + ( n - 1 ) d ]
where a , is the first term and d , the common difference
here a = 8 and d = 14 - 8 = 20 - 14 =.......= 6
hence S 24 = 24 2 [ ( 2 × 8 ) + ( 23 × 6 ) ]
= 12[ 16 + 138 ] = 12( 154) = 1848

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?