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) $ .