The sum of the first 3 terms of a geometric series is 171 and the common ratio is 2/3. What is the first term?
2 answers:
Answer:
81
Step-by-step explanation:
let the terms be a,ar,ar²
r=2/3
a+a(2/3)+a(2/3)²=171
multiply by 9
9a+6a+4a=171×9
19 a=171×9
a=(171×9)/(19)
a=9×9=81
Answer:
The first term is 81
Step-by-step explanation:
The common ratio is 2/3.

Sum of first n terms in GP = 
The sum of the first 3 terms of a geometric series is 171
n=3
Substitute the values in the formula:





Hence The first term is 81
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