Geometric Progression - 2

The 9th term of the G.P 1, 4, 16, 64,... is

• $4^8$

• $4^9$

• $4^7$

• $4^{10}$

Tags

CCSS.HSF.BF.A.2

In a GP the 3rd term is 24 and the 6th term is 192. The 10th term is

• 3070

• 3072

• 3068

• 3074

The sum of 7 terms of the G.P 3, 6, 12, ... is

• 380

• 381

• 382

• 379

Tags

CCSS.HSA.SSE.B.4

The sum of some terms of a G.P is 315 whose first term and the common ratio are 5 and 2, respectively. The number of terms are

• 3

• 4

• 5

• 6

Tags

CCSS.HSA.SSE.B.4

The two geometric means between the numbers 1 and 64 are

• 1 and 64

• 4 and 16

• 2 and 16

• 8 and 16

The nth term of a G.P is 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is

• 1

• 3

• 8

• none of these.

If p, q be two A.M's and G be one G.M between two numbers, then  $G^2$  =

•  $\left(2p-q\right)\left(p-2q\right)$  

•  $\left(2p-q\right)\left(2q-p\right)$  

•  $\left(2p-q\right)\left(p+2q\right)$  

• none of these

If a, b, c are in G.P and x, y are A.M's between a, b and b, c respectively, then

• $\frac{1}{x}+\frac{1}{y}=2$

• $\frac{1}{x}+\frac{1}{y}=\frac{1}{2}$

• $\frac{1}{x}+\frac{1}{y}=\frac{2}{a}$

• $\frac{1}{x}+\frac{1}{y}=\frac{2}{b}$