Precalculus Examples

, , , ,
This is the formula to find the sum of the first terms of the sequence. To evaluate it, the values of the first and th terms must be found.
This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .
Arithmetic Sequence:
This is the formula of an arithmetic sequence.
Substitute in the values of and .
Simplify each term.
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Apply the distributive property.
Multiply by to get .
Simplify the expression.
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Remove unnecessary parentheses.
Add and to get .
Substitute in the value of to find the th term.
Multiply by to get .
Subtract from to get .
Replace the variables with the known values to find .
Add and to get .
Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and to get .
Multiply by to get .
Divide by to get .
Convert the fraction to a decimal.
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