Knowee
Questions
Features
Study Tools

The value of the ratio  (1 + 122 + 132 + 142 + ….)/(1 − 122 + 132 − 142 + ….)  is  …… .........

Question

The value of the ratio  (1 + 122 + 132 + 142 + ….)/(1 − 122 + 132 − 142 + ….)  is  …… .........
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The given series are geometric series.

The first series is 1 + 12^2 + 13^2 + 14^2 + ..., where the common ratio is 12^2.

The sum of an infinite geometric series is given by S = a / (1 - r), where a is the first term and r is the common ratio.

So, the sum of the first series is S1 = 1 / (1 - 12 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  

This problem has been solved

Similar Questions

The value of the ratio  (1 + 122 + 132 + 142 + ….)/(1 − 122 + 132 − 142 + ….)  is  …… .........

A bag contains one rupees, fifty paisa and 25 paisa in the ratio of 8:9:11, if the total amount in the bag is 122, find no. Of coins of each type?

Two coherent sources of light interfere. The intensity ratio of two sources is 1 : 9. For this interference pattern find the value of  Imax + IminImax − Imin

Check that the ratio ke2/G memp is dimensionless. Look up a Tableof Physical Constants and determine the value of this ratio. Whatdoes the ratio signify?

The momentum of a body is numerically equal to the Kinetic energy of the body. What is the velocity of body?122​ 1​  units2 units133​ 1​  units33​ units

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.