So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.
Answer:
Step-by-step explanation:
The following points (coordinates) lie on a straight line with slope 3:
(1, 0), (2, 3), (3, 6), (4, 9) ... and so on
So the linear function is y = 3x + b, where b is the y-intercept.
