Find the sum of the terms of arithmetic -5, -3, -1,1......55

themediamafia73 2022-09-14 Answered
Find the sum of the terms of arithmetic -5, -3, -1,1......55
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Answers (1)

Mohammed Farley
Answered 2022-09-15 Author has 15 answers
55=−5+(n−1)2
55=−5+2n−2
55=−7+2n
62=2n
31=n
Now, we can use the formula s n = n 2 ( 2 a + ( n - 1 ) d )
s 31 = 31 2 ( 2 ( - 5 ) + ( 31 - 1 ) 2 )
s 31 = 31 2 ( 50 )
s 31 = 31 × 25
s 31 = 775
The sum of the terms is 775.

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