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5 votes
2. Find the sum of the 7th term of the

geometric series. 3+1+1/3+ ...
How do I find it, must show work

User Papr
by
6.2k points

1 Answer

6 votes

Answer:

sum

In the given G.S., we have,

a

=

the

1

s

t

term

=

3

,

& the common ratio

r

=

6

3

=

2

Hence, the sum

S

n

of its first

n

terms is given by,

S

n

=

a

(

1

r

n

)

1

r

The Reqd. Sum S_7

=

3

(

1

(

2

)

7

)

1

(

2

)

=

3

(

1

+

128

)

3

=

129

User Chronikum
by
6.1k points