Question

PLEASE HELP AND EXPLAIN HOW TO DO THIS

Find Sn for the given geometric series.

1=0.11, 5=895.956875, =9.5

Answer 1

The correct answer is 1001.35

Answer 2

1001.35

Explanation:

Assuming

n

=

5

for which sum to be found.

We know sum of geometric series up to

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]