Question

find the sum of the series 101 + 99 + 97 + ...... + 47

Answer 1

_____ hey mate ____

here is your answer

101+99+97+..+47 
this is an arithmetic series, the nth term is found by
Xn = 101 -(2 * (n-1))
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we need to determine how many terms to sum
47 = 101 -(2*(n-1))
47 = 101 -2n +2
2n = 56
n = 28
there are 28 terms to sum
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sum = (28/2)*(101+47)
sum = 14 * 148
sum = 2072 

hope the answer and method will help u!!!!

Answer 2

Hey dear here is your answer!!!!

First to find no. of terms ....

An = a + (n-1)d
47=101+(n-1)-2
-54=(n-1)-2
n-1=27
n=28

To find sum :-
Sn= n/2 (a+l)
Sn = 14(101+47)
Sn =2072

Hope it helps !!!