the numbers 3 ,X and X + 6 form are in a GP find (1)X,(2)20 term (3) n term
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Step-by-step explanation:
Given that-
3, x and (x + 6) are in G.P.
Find-
- x = ?
- 20th term
- n term
Solution:
1. The value of x
We know that if a, b and c are in G.P. then-
Here, a = 3, b = x and c =(x + 6)
So,
=
Squaring on boths sides, we have-
x = -3, and 6
Neglecting the -ive sign.
We have x = 6
Hence, the value of x is 6
2. The 20th term of G.P.
20th term of G.P. = ?
We have-
First term a = 3
Second term = x
= 6
Second term = 6
r = 2
We know that
The nth term of G.P-
So,
=
ANSWER
3. Find nth term-
We know that-
The nth term of any G.P.-
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