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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

Study Guide and Review

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Exercise 37 Page 712

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

12 285

Practice makes perfect

We want to find the sum of the geometric series with the given characteristics. a_1=9, r=4, and n=6To 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=9 - 9 ( 4)^6/1- 4 Let's use the above expression to find the value of S_n.

S_n=9 - 9 (4)^6/1-4

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Simplify right-hand side

Calculate power

S_n=9 - 9 (4096)/1-4

Multiply

S_n=9 - 36864/1-4

Subtract terms

S_n=- 36855/- 3

- a/- b=a/b

S_n=12 285

Subchapter links

Exercises p.710-714