# Calculus 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 .

Apply the distributive property.

Multiply by .

Remove unnecessary parentheses.

Subtract from .

Add and .

Substitute in the value of to find the th term.

Multiply by .

Replace the variables with the known values to find .

Add and .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Multiply by .

Divide by .

Convert the fraction to a decimal.