Question

The numbers x - 6, 2x and x2 are in G.P. Find
x (ii) 1st term (iii) nth term.​

Answer 1

Answer:

x = 10

First Term = 4

Nth term = 4 * 5ⁿ⁻¹

Step-by-step explanation:

The numbers x - 6, 2x and x2 are in G.P

=> (2x)² = (x-6)x²

=> 4x² = (x - 6)x²

=> 4 = x - 6

=> x = 10

10-6 = 4  

2*10 = 20

10² = 100

GP  is  4  , 20  , 100

First Term = 4

Common ratio = 20/4 = 100/20  = 5

Nth term = 4 * 5ⁿ⁻¹