I need to find the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms

Haiphongum

Haiphongum

Answered question

2022-09-17

I need to find the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms

Answer & Explanation

Madden Huber

Madden Huber

Beginner2022-09-18Added 12 answers

To calculate the sum of n terms for an arithmetic sequence.
Reminder | a a S n = n 2 [ 2 a + ( n - 1 ) d ] a a | ̲ ¯
where a represents the first term and d, the common difference.
here a = 8, d = 22 - 15 = 15 - 8 = 7 and n = 26
S 26 = 26 2 [ ( 2 × 8 ) + ( 25 × 7 ) ]
= 13 ( 16 + 175 ) = 2483

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