Split the summation to make the starting value of equal to .

Factor out of the summation.

Use the exponentiation to adjust the lower and upper bounds.

Lower bound:

Upper bound:

Rewrite the geometric summation with the new bounds.

Split the summation to make the starting value of equal to .

Evaluate .

The formula for the geometric series is:

Substitute the values into the formula.

Simplify.

Simplify the numerator.

Raise to the power of .

Multiply by .

Subtract from .

Simplify the expression.

Subtract from .

Divide by .

Evaluate .

Expand the series for each value of .

Simplify.

Simplify each term.

Subtract from .

Anything raised to is .

Subtract from .

Evaluate the exponent.

Add and .

Replace the summations with the values found.

Simplify.

Subtract from .

Multiply by .

Expand the series for each value of .

Simplify.

Add and .

Raise to the power of .

Multiply by .

Replace the summations with the values found.

Subtract from .

Evaluate sum from n=2 to 10 of 25(0.3)^(n+1)