Question

Find the sum of the following series 1+3+5+..+to 25 terms

Answer 1

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Answer 2

Sn = n/2 [2a + (n - 1)d]

a = 1  ;  d = 2  ;  n = 25

= $25/2$ [2 x 1 + (25 - 1) x 2]

= $25/2$ [2 + 24 x 2]

= $25/2$ [2+48]

= $25/2$ x 50 = 625

ANSWER = 625