Question

The numbers x-6, 2x and x^2 form are in G.P.
Find (i) x, (ii) first term (iii) nth term.​

Answer 1

Answer:

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Answer 2

Answer:

x = 10

First Term = 4

nth Term = 4*5^n-1

Step-by-step explanation:

The number x - 6 , 2x and x^2 are in G.P

(2x)^2 = (x - 6)x^2

4x^2 = (x - 6)x^2

4 = x - 6

x = 10

10 - 6 = 4

2* 10 = 20

10^ = 100

G.P is 4 , 20 , 100

First Term = 4

Common ratio = 20/4 = 100/20 = 5

nth term = 4* 5^n-1