Calculus Examples

, ,
Step 1
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .
Geometric Sequence:
Step 2
This is the form of a geometric sequence.
Step 3
Substitute in the values of and .
Step 4
Multiply by by adding the exponents.
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Step 4.1
Multiply by .
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Step 4.1.1
Raise to the power of .
Step 4.1.2
Use the power rule to combine exponents.
Step 4.2
Combine the opposite terms in .
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Step 4.2.1
Subtract from .
Step 4.2.2
Add and .
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