I need the answer as soon as possible iii) a) Prove that E(2i – 1) = n².b) Hence or otherwise prove the following identity, discovered by Galileoin 1615:1 1+33 5+71+3+51+3+5+77+9+ 119+11 + 13+ 15iv) Prove that if n is any nonnegative integer thenAn +2 is irrational.

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Answered: Prove that Σ", (2i-1)-. .

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Prove that Σ", (2i-1)-. .

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

I need the answer as soon as possible

iii) a) Prove that E(2i – 1) = n².
b) Hence or otherwise prove the following identity, discovered by Galileo
in 1615:
1 1+3
3 5+7
1+3+5
1+3+5+7
7+9+ 11
9+11 + 13+ 15
iv) Prove that if n is any nonnegative integer then
An +2 is irrational.

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