Find the sum of the arithmetic series 2 + 5 + 8 + ... + 53

Tony Burgess 2022-09-11 Answered
Find the sum of the arithmetic series 2 + 5 + 8 + ... + 53
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Answers (1)

Anabelle Hicks
Answered 2022-09-12 Author has 13 answers
t n = a + ( n - 1 ) d
53 = 2 + ( n - 1 ) 3
53 = 2 + 3 n - 3
54 = 3 n
18 = n
Now that we know the number of terms we can use the formula s n = n 2 ( t 1 + t n )
s 18 = 18 2 ( 2 + 53 )
s 18 = 9 ( 55 )
s 18 = 495
The sum is of 495.
When finding the sum of an arithmetic series, there are two formulas that you may use: the one presented above and s n = n 2 { 2 a + ( n - 1 ) d } . You use the latter when you don't know the last term.

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