Justine earned $26,000 during the first year of her job at city hall. After each year she received a 3% raise. Find her total earnings during the first five years on the job. $138,037.53 $1,004,704.20 $4,020.51 $108,774.30 Does the infinite geometric series diverge or converge? Explain. 1/5 + 1/10 +1/20 + 1/40 + ... It diverges; it has a sum. It diverges; it does not have a sum. It converges; it has a sum. It converges; it does not have a sum. Solution 10)S=26000+26000(1.03)+26000(1.03)^2....+26000(1.03)^4 =26000(1+1.03+..+(1.03)^4) =138037.53 11)the series is converging since ar>ar-1 it has a sum which is equal to 1/5/1-1/2 =2/5 =0.4 .

1. Justine earned $26,000 during the first year of her job at city hall. After each year she received a
3% raise. Find her total earnings during the first five years on the job. $138,037.53
$1,004,704.20 $4,020.51 $108,774.30 Does the infinite geometric series diverge or converge?
Explain. 1/5 + 1/10 +1/20 + 1/40 + ... It diverges; it has a sum. It diverges; it does not have a
sum. It converges; it has a sum. It converges; it does not have a sum.
Solution
10)S=26000+26000(1.03)+26000(1.03)^2....+26000(1.03)^4 =26000(1+1.03+..+(1.03)^4)
=138037.53 11)the series is converging since ar>ar-1 it has a sum which is equal to 1/5/1-1/2
=2/5 =0.4