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McGraw Hill Glencoe Algebra 2, 2012

MH

McGraw Hill Glencoe Algebra 2, 2012 View details

Study Guide and Review

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Exercise 36 Page 712

Use the formula for the sum of the first n terms, S_n= a_1-a_1r^n1-r.

225

Practice makes perfect

We want to find the sum of the geometric series with the given characteristics. a_1=15, r=2, and n=4 To do so, we will substitute the above values into the formula for the sum of the first n terms. S_n=a_1 - a_1 r^n/1-r ⇓ S_n=15 - 15 ( 2)^4/1- 2 Let's use the expression to find the value of S_n.

S_n=15 - 15 (2)^4/1-2

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Simplify right-hand side

Calculate power

S_n=15 - 15 (16)/1-2

Multiply

S_n=15 - 240/1-2

Subtract terms

S_n=- 225/- 1

- a/- b=a/b

S_n=225

Subchapter links

Exercises p.710-714