Purchase Solution

# Integration

Not what you're looking for?

Please explain how to solve the attached problems (as much explanation as possible) and solve to the specified answers.

Find a formula for the sum of n terms. Use the formula to find the limit as n approaches infinity.

##### Solution Summary

This solution is comprised of a detailed explanation to explain how to solve the attached problems (as much explanation as possible) and solve to the specified answers.

##### Solution Preview

Hi, herewith I have attached a file, which includes the answers, please go through it.

Thanks for using Brainmass service.

Have a nice day :-)

1. Find

First we need find

Then we have to apply the limit.

Summation of I=1 to n = 16 [ 1/n^2+ 2/n^2+......n/n^2]

= 16/n^2 [ 1+2+3+..........+n]

= 16/ n^2 [Sn] -------------- ------ A

Let us take Sn = 1+2+3+........n

We know that Sn, 1+2+3+.......+n = {n(n+1)}/2

We can prove this by mathematical induction method.

LHS = 1+2+.....+n
RHS = {n(n+1)}/2

Put n = 1

LHS =1 and RHS = {1(1+1)}/2 => 2/2 =1

Therefore, LHS = RHS

S(1) is true.

Hence, S(k) is true.

(ie) 1+2+3+.....+k = {k(k+1)}/2

We shall now ...

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Probability Quiz

Some questions on probability