The number of terms in the series 101 + 99 + | vedclass

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Question

(b) Given series $101 + 99 + 97 + ......... + 47$

So, first term $a = 101$, common difference $d = - 2$ and last term $l = 47$

We know that last

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(b) 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

${T_l} = a + (n - 1)d$

$\Rightarrow 47 = 101 + (n - 1)( - 2)$

$ \Rightarrow $$ - 54 = (n - 1)( - 2) $

$\Rightarrow n = 28$.

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

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