A) \[3n(3n+5)\]
B) \[3n(n+5)\]
C) \[n(3n+5)\]
D) \[n(n+5)\]
Correct Answer: A
Solution :
Given series \[3\,.\,8+6\,.\,11+9\,.\,14+12\ .\,17+.....\] First factors are 3, 6, 9, 12 whose \[{{n}^{th}}\]term is \[3n\] and second factors are 8, 11, 14, 17 \[{{t}_{n}}=[8+(n-1)3]=(3n+5)\] Hence \[{{n}^{th}}\]term of given series\[=3n(3n+5)\].
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