Question

The sum of first three terms of a finite geometric series is - and their product is -. [Hint: Use , a, and ar to represent the first three terms, respectively.] The three numbers are _____, _____, and _____.

Answer 1

Let the first term of Geometric series = a
common ratio = r

First three terms are: a, ar, ar²

Sum = a + ar + ar² = a(1+r+r²)
Product = a × ar × ar² = a³r³

Hope it helps!

Answer 2

1st term:: a/r = (-1/5)/(2) = -1/10
2nd term:: a = -1/5 = -2/10
3rd term:: a*r = (-2/10)(2) = -4/10