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Precalculus
»
I.
Sequences, Series, and Probability
»
I.4.
Mathematical Induction
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Unit Challenge
Using Mathematical Induction
Overview
Find the statement P
_{k+1 }
for each given statement P
_{k }
Find the formula for the sum of the first n terms of the sequence
Sum of Powers of Integers
Overview
Find the sum using the formulas for the sums of powers of integers
Finite Differences
State whether the sequence has a linear model, quadratic model, or neither given a
_{1}
and a
_{n}
Find a quadratic model for the sequence with the indicated terms
Using Mathematical Induction — Find the formula for the sum of the first n terms of the sequence
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