CBSE Class 10 Answered
The sum of the first 7 terms of an AP is 63 and that of its next 7 terms is 161.find the AP
Asked by prassanna.j | 13 Nov, 2023, 23:24: PM
Let a be the first term of Aritnmetic Progression(AP) and d be the common difference of AP
Sum of n-terms of AP is

If sum of first 7 terms is 63 , then we have

By simplifying above expression, we get

If sum of next 7 terms is 161 , then sum of first 14 terms is ( 63+161) = 224
Hence , expression for sum of 14 terms is


By solving eqn.(1) and eqn.(2) , we get a = 3 and d = 2
Hence AP is 3 , 5, 7, 9 ..........................
Answered by Thiyagarajan K | 14 Nov, 2023, 10:51: AM
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