ICSE Class 10 Answered
find the sum of the first 24 terms of A.P., if it is known that -
1st term + 5th term + 10th term + 15th term + 20th term + 24th term =225
Asked by bdroy_2014 | 08 Feb, 2018, 13:37: PM
Expert Answer
We have to find the sum of first 24 terms of an AP.
S24 = 24/2 [ 2A + (24-1)D]
= 24A + 276D
The sum of the first, 5th, 10th, 15th, 20th and 24th term = 225
A + ( A + 4D) +( A + 9D) + ( A + 14D) + ( A + 19D) + ( A + 23D)= 225
; 6A + 69D= 225 - (1)
Multiply (1) by 6 and you get
24A + 276D = 1350.
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Answered by | 08 Feb, 2018, 14:47: PM
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