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# Mathematical Induction

## Recognize and apply inductive logic to sequences and sums.

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.
• Video

## Using Mathematical Induction - Overview

by CK-12 //basic
Overview
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• Video

## Sum of Powers of Integers - Overview

by CK-12 //basic
Overview
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• Video

## Using Mathematical Induction - Example 2

by CK-12 //basic
Find the formula for the sum of the first n terms of the sequence
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• Video

## Sum of Powers of Integers - Example 1

by CK-12 //basic
Find the sum using the formulas for the sums of powers of integers
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• Video

## Finite Differences - Example 2

by CK-12 //basic
Find a quadratic model for the sequence with the indicated terms
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• Video

## Using Mathematical Induction - Example 1

by CK-12 //basic
Find the statement P[k+1 ]for each given statement P[k ]
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• Video

## Finite Differences - Example 1

by CK-12 //basic
State whether the sequence has a linear model, quadratic model, or neither given a[1] and a[n]
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