Question

Four geometric means are inserted between 211 – 1 and 211 + 1. The product of these geometric means is

Solution

Correct option is

244 – 223 + 1

Let a = 211 – 1 and b = 211 +1 .

Let G1, G2, G3, G4 be geometric means between a and b, then

G1 G2 G3 G4 = (ar) (ar2) (ar3) (ar4)

                      = a2 (ar5) = (ab)2

Put the values

                        244 – 223 + 1

SIMILAR QUESTIONS

Q2
Q3

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

Q4

 

If tr denotes the rth term of an A.P., and tp = 1/q, tq = 1/p, then which of the following is a root of the equation

Q5
Q9