Show that progressions is a G.P. Also, find the common ratio -2/3, -6, -54, ….

Show that progressions is a G.P. Also, find the common ratio \( \dfrac{-2}{3}\), -6, -54, ….

Asked by Sakshi | 1 year ago |  106
  0   0
Class 11 Maths Sequences and Series         Add Answer

1 Answer

Solution :-

Let a = \( \dfrac{-2}{3}\), b = -6, c = -54

In GP,

b2 = ac

(-6)2 = \( \dfrac{-2}{3}\) × (-54)

36 = 36

So, the Common ratio = r = -6 ×\( \dfrac{3}{-2}\) = 9

Answered by Sakshi | 1 year ago
Previous
Next

Related Questions

Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.

Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.

Class 11 Maths Sequences and Series View Answer

Find the two numbers whose A.M. is 25 and GM is 20.

Find the two numbers whose A.M. is 25 and GM is 20.

Class 11 Maths Sequences and Series View Answer

If a is the G.M. of 2 and 1/4 find a.

If a is the G.M. of 2 and \( \dfrac{1}{4}\) find a.

Class 11 Maths Sequences and Series View Answer

Find the geometric means of the following pairs of numbers

Find the geometric means of the following pairs of numbers:

(i) 2 and 8

(ii) a3b and ab3

(iii) –8 and –2

Class 11 Maths Sequences and Series View Answer

Insert 5 geometric means between 32/9 and 81/2.

Insert 5 geometric means between \( \dfrac{32}{9}\) and \( \dfrac{81}{2}\).

Class 11 Maths Sequences and Series View Answer