Sequence And Series Question 595

Question: The number of terms in the series $ 101+99+97+…..+47 $ is

Options:

A) 25

B) 28

C) 30

D) 20

Show Answer

Answer:

Correct Answer: B

Solution:

Given series $ 101+99+97+………+47 $ So, first term $ a=101 $ , common difference $ d=-2 $ and last term $ l=47 $ We know that last term of a series $ T_{l}=a+(n-1)d\Rightarrow 47=101+(n-1)(-2) $ $ -54=(n-1)(-2)\Rightarrow n=28 $ .