Sequence And Series Question 581

Question: The $ n^{th} $ term of the following series $ (1\times 3)+(3\times 5)+(5\times 7)+(7\times 9)+……. $ will be

Options:

A) $ n,(2n+1) $

B) $ 2n,(2n-1) $

C) $ (2n+1)(2n-1) $

D) $ 4n^{2}+1 $

Show Answer

Answer:

Correct Answer: C

Solution:

Since, given series is $ (1\times 3)+(3\times 5)+(5\times 7)+(7\times 9)+…….+(2n-1)(2n+1) $ Hence $ n^{th} $ term of the series is $ (2n+1)(2n-1) $ .