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the first four terms of a geometric progression are 2,10,50,250 a) write down the common ratio of the progression b) write down the fifth te

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the first four terms of a geometric progression are 2,10,50,250 a) write down the common ratio of the progression b) write down the fifth te

Question

the first four terms of a geometric progression are 2,10,50,250 a) write down the common ratio of the progression b) write down the fifth term of the progression

## Answers ( )

Answer:The common ratio is 5 and the 5th term is 1250

Step-by-step explanation:The common ratio is given by

r=U(2)/U (1)

=10/2

=5

The fifth term

U (n)=ar^n-1

U(5)=2(5)^5-1

=2×5^4

=2×625

=1250