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Question

Question: The number of terms in the series <img src="https://cdn.pureessence.tech/canvas_122.png?top_left_x=1...

The number of terms in the series is.

A

25

B

28

C

30

D

20

Answer

28

Explanation

Solution

Given series

So, first term a=101a = 101, common difference d=2d = - 2 and last term l=47l = 47

We know that last term of a series

Tl=a+(n1)d47=101+(n1)(2)T _ { l } = a + ( n - 1 ) d \Rightarrow 47 = 101 + ( n - 1 ) ( - 2 )

\Rightarrow 54=(n1)(2)n=28- 54 = ( n - 1 ) ( - 2 ) \Rightarrow n = 28.