Math, asked by Shivam0707, 1 year ago

In an AP of 99 terms ,the sum of all the odd numbered terms is 2550. Them find the sum of all the 99 terms of the AP.

Answers

Answered by sprao534
35
Please see the attachment
Attachments:

sprao534: add numbered terms are 1,3,5.......... 99. let the number of terms be n. 99=1+(n-1)2 then n=50
Shivam0707: how can u say the numbers are 1 to 99 ??
Shivam0707: take the 99 terms be : 51 to 149.
sprao534: consider 51 th term as first term. 149th term as 99th term. there fore number of odd terms are 50
sprao534: remember, the series contains 99 terms
Shivam0707: ok 51 to 150
sprao534: the series contains only 99 terms. How can you take 50 to 149 or 51 to 150
Shivam0707: there are 99 terms in them
Shivam0707: it is not written the first 99 terms
sprao534: In an A. P of 99 terms means?
Answered by Yashkalbhile
7

Answer:5049

Step-by-step explanation

SN =n/2 (2a+ (n-1) d)

2550 = 50/2 (a1 + a99 )

a1 + a99 = 102

Now the sum of all terms is

99/2 ( a1+ a99) = 99/2 (102)

=5049

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