Concept explainers
Suggest a formula to represent 2 + 4 + 6 + ……..+ 2n, and prove your hypothesis using mathematical induction.
Answer to Problem 33HP
Explanation of Solution
Given:
Suggest a formula to represent 2 + 4 + 6 + ……..+ 2n, and prove your hypothesis using mathematical induction.
Concept Used:
Formula to represent:
Calculation:
Step 1: When n = 1, the left side of the given equation is
Step 2: Assume that
Step 3:
The last expression is the right side of the equation to be proved where
Thus,
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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