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Common Difference

Find the comm...

Question

Find the common difference of an AP whose first term is 5 and the sum of first 4 terms is half of the sum of the next 4 terms.

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Solution

Let d is common difference of AP
now first 4term is 5,5+d,5+2d,5+3d
and next 4term 5+4d,5+5d,5+6d,5+7d
now according to question
20+6d=(20+22d)/2
20+6d=10+11d
d=2

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