CBSE Class 10 Answered
Find the common diffrence of an AP whose first term is 5 and the sum of the first four terms is half the sum of the next four terms
Asked by gpnkumar0 | 27 Feb, 2018, 22:26: PM
![begin mathsize 16px style According space to space the space question
straight a equals 5
straight S subscript 4 equals 4 over 2 open square brackets 2 cross times 5 plus 3 straight d close square brackets
straight S subscript 4 equals 2 open parentheses 10 plus 3 straight d close parentheses
Sum space of space next space four space terms space are space 5 to the power of th space to space 8 to the power of th
straight a equals straight t subscript 5
straight t subscript 5 equals 5 plus 4 straight d
sum space of space next space 4 space terms equals 4 over 2 open parentheses 2 straight t subscript 5 plus 3 straight d close parentheses
equals 2 open square brackets 2 open parentheses 5 plus 4 straight d close parentheses plus 3 straight d close square brackets
equals 2 open parentheses 10 plus 11 straight d close parentheses
straight S subscript 4 equals 1 half cross times sum space of space next space 4 space terms
2 open parentheses 10 plus 3 straight d close parentheses equals 1 half cross times 2 open parentheses 10 plus 11 straight d close parentheses
20 plus 6 straight d equals 10 plus 11 straight d
straight d equals 2 end style](https://images.topperlearning.com/topper/tinymce/cache/e776bdb9ea9ca84997d229922a8ff3ee.png)
Answered by Sneha shidid | 28 Feb, 2018, 10:00: AM
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