Find the sum of the arithmetic sequence having the data given a_1=5, d = -2, n = 12

Sara Solomon

Sara Solomon

Answered question

2022-10-01

Find the sum of the arithmetic sequence having the data given a 1 = 5 , d = -2, n = 12

Answer & Explanation

blikath3

blikath3

Beginner2022-10-02Added 7 answers

The sum of n terms of arithmetic sequence is found using formula:
S n = n 2 [ 2 a + ( n - 1 ) d ]
S n = 12 2 [ 2 × 5 + ( 12 - 1 ) × - 2 ]
= 6 [ 10 + ( 11 ) × - 2 ]
= 6 [ 10 - 22 ]
= 6 × - 12
S 12 = - 72

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