# math

The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression

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1. AP: 10,10+2d,10+6d
GP: (10+2d)/10 = (10+6d)/(10+2d)
d = 5
check:
AP: 10,15,20,25,30,35,40
GP: 10,20,40

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2. Two arithmetic progression have thd same first
and last terms.the first arithmetic progression has
21 terms with a common difference of 9.How
many terms has the other arithmetic progression
if its common difference is 4?working and

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