Calculus Examples

, ,
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:
This is the form of a geometric sequence.
Substitute in the values of and .
Apply the product rule to .
One to any power is one.
Multiply by to get .
Simplify .
Write as a fraction with denominator .
Multiply and to get .
Substitute in the value of to find the th term.
Simplify the denominator.
Subtract from to get .
Raise to the power of to get .
Divide by to get .