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
Apply the product rule to .
Step 5
Combine.
Step 6
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Combine the opposite terms in .
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Subtract from .
Add and .
Step 7
One to any power is one.
Step 8
Substitute in the value of to find the th term.
Step 9
Simplify the denominator.
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Subtract from .
Raise to the power of .
Step 10
Multiply by .
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