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
One to any power is one.
Step 6
Combine and .
Step 7
Substitute in the value of to find the th term.
Step 8
Simplify the denominator.
Tap for more steps...
Step 8.1
Subtract from .
Step 8.2
Raise to the power of .
Step 9
Cancel the common factor of and .
Tap for more steps...
Step 9.1
Factor out of .
Step 9.2
Cancel the common factors.
Tap for more steps...
Step 9.2.1
Factor out of .
Step 9.2.2
Cancel the common factor.
Step 9.2.3
Rewrite the expression.
Enter YOUR Problem
Mathway requires javascript and a modern browser.