Sequence And Series Question 246
Question: $ n^{th} $ term of the series $ 3.8+6.11+ $ $ 9.14+12.17+….. $ will be
Options:
A) $ 3n(3n+5) $
B) $ 3n(n+5) $
C) $ n(3n+5) $
D) $ n(n+5) $
Show Answer
Answer:
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) $ .
BETA
