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Find the sum of the terms of a geometric sequence whose first term is 4, last term is 312 500 and common ratio is 5.​

Sagot :

Answer:

Two ways to arrive to result:

One way is calculate the 5th term applying definition of geometric sequence:

a

1

=

4

a

2

=

4

(

2

)

=

8

a

3

=

(

8

)

(

2

)

=

16

a

4

=

16

(

2

)

=

32

a

5

=

(

32

)

(

2

)

=

64

and so on

Other way is apply general term of a geometric sequence

a

n

=

a

1

r

n

1

For n=5, we have

a

5

=

4

(

2

)

4

=

64