The series can be written as:
Firstly let us consider 3(\( \dfrac{1}{5}\) + \( \dfrac{1}{5^3}\) + \( \dfrac{1}{5^5}\)+ … to n terms)
So, a = \( \dfrac{1}{5}\)
r = \( \dfrac{1}{5^2}\) = \( \dfrac{1}{25}\)
Now, Let us consider 4 (\( \dfrac{1}{5^2}\) + \( \dfrac{1}{5^4}\) + \( \dfrac{1}{5^6}\) + … to n terms)
So, a = \( \dfrac{1}{25}\)
r= \( \dfrac{1}{5^2}\) = \( \dfrac{1}{25}\)
Answered by Sakshi | 1 year agoConstruct a quadratic in x such that A.M. of its roots is A and G.M. is G.
Find the geometric means of the following pairs of numbers:
(i) 2 and 8
(ii) a3b and ab3
(iii) –8 and –2
Insert 5 geometric means between \( \dfrac{32}{9}\) and \( \dfrac{81}{2}\).