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How many terms of the geometric series 5 + 15 + 45 +... will give a sum of 16 400.​

Sagot :

Answer:

16400

Explanation:

This is a geometric series with r = 3. First, find what term

10935

is.

5

(

3

n

1

)

=

10935

(

3

n

1

)

=

2187

3

n

1

=

3

7

n

1

=

7

n

=

8

Now use the formula for the sum of the first

n

terms of a geometric series:

S

n

=

a

1

(

1

r

n

)

1

r

S

8

=

5

(

1

3

8

)

1

3

=

16400