## Question

#### SIMILAR QUESTIONS

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

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

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

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

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

If t_{r} denotes the rth term of an A.P., and t_{p} = 1/q, t_{q} = 1/p, then which of the following is a root of the equation