if the sum of first 15 terms of the series 3+7+14+24+37+......... is 15k
,then k is equal to
a. 119
b. 126
c. 122
d. 81
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From the difference table attached, the first 15 terms of this series are:
3, 7, 14, 24, 37, 53, 72, 94, 119, 147, 178, 212, 249, 289 and 332
The sum of these numbers = 15k, therefore;
3, 7, 14, 24, 37, 53, 72, 94, 119, 147, 178, 212, 249, 289 and 332
The sum of these numbers = 15k, therefore;
3+ 7+ 14+ 24+ 37+ 53+ 72+ 94+ 119+ 147+ 178+ 212+ 249+ 289 +332 = 15k
1830 = 15k
k = 1830/15
k = 122
The correct answer is (C), 122
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