What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti
on in lowest terms without using spaces.
1 answer:
Answer:
242/27
Step-by-step explanation:
Using the formula for the sum, you can fill in the given values and do the arithmetic.
Sn = a1·(r^n -1)/(r -1)
S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)
S5 = 242/27
_____
Or, you can write the terms and add them up. The sum is ...
6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27
You might be interested in
1,000 words
10^4=10,000
10^3=1,000
check attached file it has the answers
3x =-18
X= -12
Answer: 9
Step-by-step explanation: -(-3)=3^2=9
Answer:
109r6
Step-by-step explanationi got it
