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Find the sum of the series

Question:

Find the sum of the series 101 + 99 + 97 + 95 + …. + 43.

Solution:

To Find: The sum of the given series.

Sum of the series is given by

$S=\frac{n}{2}(a+l)$

Where n is the number of terms, a is the first term and l is the last term

Here $a=101, I=43, n=30$

$S=\frac{30}{2}[101+43]$

= 15 × 144 = 2160

The sum of the series is 2160.

 

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