http://www.ck12.org Chapter 12. Discrete Math
a 1 = 100 ,r= 1. 06
The sum of the 10 years of deposits is:
a 1 (^11 −−rrn)= 100
( 1 − 1. 0610
1 − 1. 06)
≈$1318. 08
Practice
Find the sum of the first 15 terms for each geometric sequence below.
- 5, 10 , 20 ,...
- 2, 8 , 32 ,...
- 5,^52 ,^54 ,...
- 12, 4 ,^43 ,...
5.^13 , 1 , 3 ,...
For each infinite geometric series, identify whether the series is convergent or divergent. If convergent, find the
number where the sum converges. - 5+ 10 + 20 +···
- 2+ 8 + 32 +···
- 5+^52 +^54 +···
- 12+ 4 +^43 +···
10.^13 + 1 + 3 +··· - 6+ 2 +^23 +···
- You put $5000 in a bank account at the end of every year for 30 years. The account earns 2% interest. How
much do you have total at the end of 30 years? - You put $300 in a bank account at the end of every year for 15 years. The account earns 4% interest. How much
do you have total at the end of 10 years? - You put $10,000 in a bank account at the end of every year for 12 years. The account earns 3.5% interest. How
much do you have total at the end of 12 years? - Why don’t infinite arithmetic series converge?