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Two sequences cannot be in both AP a...

Two sequences cannot be in both AP and GP together .

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Write the condition under which three numbers a,b,c may be in A.P and G.P both.

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Which of the following sequences are A.P. ? If it is an A.P. , find next two terms. 2,-2,-6,-10,……….

Which of the following sequences are A.P. ? If it is an A.P. , find next two terms. 5,12,19,26,…….

If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then show that - a^(b-c).b^(c-a).c^(a-b)=1 .

if a sequence of number is in GP show that their logarithms are in A.P

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1,3,9 can be terms of (A) an A.P.but not of a G.P (B) G.P. but not of an A.P. (C) A.P. and G.P both (D) neither A.P nor G.P

Prove that three unequal numbers cannot be in GP when each number increased (or decreased) by the same quantity are in AP.