# Guessing a Formula for a Summation and Proving it by Mathematical Induction

Not what you're looking for? Search our solutions OR ask your own Custom question.

1. Guess a formula for 1+3+...+(2n-1) by evaluating the sum for n=1,2,3, and 4 (for n=1, the sum is simply 1).

2. Prove your formula using mathematical induction.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:29 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/formula-for-a-summation-and-proving-it-by-mathematical-induction-50557

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Try to use induction

________________________________________

1. Guess a formula for ...

#### Solution Summary

A formula is guessed and proven by mathematical induction. A formula using mathematical induction is determined.

$2.49