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27

#### SIMILAR QUESTIONS

Q4

Let a, b, c be distinct real numbers which are in G.P. If ∈ is such that a + x, b + x, c + x, are in H.P., then equals

Q5

Let a, b, c be in A.P., and (b – c) x+ (c – a) x +(a – b) = 0 and 2(a + c) x2 +(b + c) x = 0 have a common root, then

Q6

Suppose a, b, c are in A.P. Let A, G bet the arithmetic mean and geometric mean between a and b, A’ , G’ bet the arithmetic mean and geometric mean between b and c, then

Q7

In a sequence of 21 terms the first 11 terms are in A.P. with common difference 2 and the last 11 terms are in G.P. with common ratio 2. If the middle terms of the A.P. is equal to the middle term of the G.P., then the middle term of the entire sequence is

Q8
Q10

If the pth term of an A.P. is 1/q and qth term is 1/p and sum of pq terms is 25pq, then p and q are connected by