# Evaluate sum from n=2 to 10 of -2n-3

Split the summation to make the starting value of equal to .
Evaluate .
Split the summation into smaller summations that fit the summation rules.
Evaluate .
The formula for the summation of a polynomial with degree is:
Substitute the values into the formula and make sure to multiply by the front term.
Simplify.
Simplify the expression.
Multiply by .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Evaluate .
The formula for the summation of a constant is:
Substitute the values into the formula.
Simplify.
Remove parentheses.
Multiply by .
Add the results of the summations.
Subtract from .
Evaluate .
Expand the series for each value of .
Simplify.
Multiply by .
Subtract from .
Replace the summations with the values found.