Progressions Pa...

If  = 7, then the value of 'n' is

If a, b, c are in A.P and a², b², c² are in H.P, then

The sum of first two terms of an infinite GP is 1 and every term is twice the sum of the successive terms. Which of the following represents the value of the first term?

The value of 2. is

The sum of squares of first 'n' even natural numbers is

If a, b, c are in AP and b - a, c - b, a are in GP, then a : b : c is 

Sum of three numbers in a GP is 14. If 1 is added to the first and second terms and 1 is subtracted from the third term, the new numbers are in AP. The smallest number among these numbers is 

If A₁, A₂ are two AM's (Arithmetic means), G₁, G₂ are two GM's (Geometric means) and H₁, H₂ are two HM's (Harmonic means) of two numbers, then  is equal to

The first and the second terms of a G.P. are x ^-4 and xⁿ, respectively. If x⁵² is the eighth term of the same progression, then 'n' is equal to

If A.M between the two numbers is 3 times their geometric mean, the numbers are in the ratio 

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation 

If a, b, c are in G.P, then log_a , log_b , log_c   are in

The sum of first n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + ...... is equal to

The sum to n terms of the series  is

The n^th terms of the two series: 3 + 10 + 17 + ........ and 63 + 65 + 67 + ......... are equal. Then, the value of 'n' is