Answer:
15, 5, 5/3, 5/9, 5/27
Step-by-step explanation:
Recall, that the general form of a geometric series is
a, ar, ar², ar³, .........
where a is the first term and r is the ratio
It is given that the first time is 15, hence a = 15
also given that ratio is 1/3
hence the first 5 terms are:
15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4
simplifying each term gives
15, 5, 5/3, 5/9, 5/27
Answer:
605/27 or 22.41 to the nearest hundredth.
Step-by-step explanation:
The formula for the sum of n terms is
an = a1 * (1 - r^n) / (1 - r) where a1 = the first term and r = the common difference.
So here a5 = 15 * (1 - (1/3)^5) / (1 - 1/3)
= 605/27
= 22.41 to the nearest hundredth.
