The sum of the 8 terms of a series 5,13,21, . . , 61 is 264
The given series is:
5,13,21, . . . . . . , 61
Notice that this is an arithmetic series with:
first term, a(1) = 5
number of terns, n = 8
common difference, d = a(2) - a(1) = 13 - 5 = 8
last term, a(8) = 61
The sum of the first n terms in an arithmetic series is given by the formula:
S(n) = n/2 [a(1) +a(n)
Substitute n = 8, a(1) = 5, a(n) = 61:
S(8) = 8/2 (5 + 61)
= 4 . 66
= 264
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