What is the recursive formula for geometric sequence #{2,10,50,250,..........}#?

1 Answer
Jan 30, 2017

Answer:

Recursive formula is #a_n=a_(n-1)xx1/5#

Explanation:

In a Geometric sequence, the ratio of each term to its preceding term is always constant and is known as common ratio #r#. Here, we observe that the ratios #50/250=10/50=2/10# are all #1/5#. Hence common ratio is #1/5#.

Recursive formula is the formula, which generates subsequent term from its preceding term.

For example #a_n# as a function of #a_(n-1)#.

It is apparent that in the given Geometric sequence recursive formula is #a_n=a_(n-1)xx1/5#.