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CBSE Class 10 Answered

 in an AP the sum of first 10 terms is -150 and the sum of its next 10 terms is -550 find the AP
Asked by Keerthandiwakar19 | 17 Feb, 2019, 01:07: PM
answered-by-expert Expert Answer
Let a be the first term and d be the common difference of A.P.
 
Sum of first 10 terms  = -150
 
hence we have (10/2) [ 2a + 9d ] = -150   or   2a + 9d = -30  .....................(1)
 
next 10 terms gives total = -550 . Hence sum of 20 terms = -150-550 =-700
 
hence (20/2) [ 2a + 19d ] = -700   or   2a + 19d = 70  ................(2)
 
by solving eqns.(1) and (2), we get a = 3 and d = -4
Answered by Thiyagarajan K | 17 Feb, 2019, 01:40: PM
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