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# Algebra 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

Step 4.1

Rewrite as .

Step 4.2

Use the power rule to combine exponents.

Step 4.3

Subtract from .

Step 5

Substitute in the value of to find the th term.

Step 6

Add and .

Step 7

Raise to the power of .