Question

Sequence and Series Help: Algebra 2

**Please help me :(***

1) What is the sum of the geometric series rounded to the nearest whole number?

15
∑ 2(1/3)^x
x=0

a)2
b)3
c)4
d)1

2) A Rubber ball dropped on a hard surface takes a sequence of bounces each one 2/5 as high as the preceding one. If this ball is dropped from a height of 10 feet, what is the total vertical distance it has traveled after it hits the surface the fifth time? Be sure to account for both drop and rebound distances
a) 22 12/25 feet
b) 32 124/125 feet
c) 25 124/125 feet
d) 22 124/125 feet

Answer 1

3) Does the infinite geometric series diverge or converge? Explain.
4+12+36+108+.....
a)it converges; it doesn't have a sum
b)it diverges; it has a sum
c)it converges; it has a sum
d)it diverges; it doesn't have a sum


I really need help with these!! :(

Answer 2

an infinite geometric series is Convergence if |r| < 1
in 3) we get r=3>1 it diverges

Answer 3

@mustafa2014 Alright, does it have a sum or no?

Answer 4

2. D