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.