Question

F(n)=5.(-2)n-1Complete the recursive formula of f(n).​

Answer 1

Answer:

a(n) = $(-2)(a_{n-1})$

$a_{1}=5$

Step-by-step explanation:

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = $a(r)^{n-1}$

Where 'a' = First term of the sequence

r = common ratio

Recursive formula of a geometric sequence is,

a(n) = $(a_{n-1}).(r)^{n-1}$

a(n) = $(-2)(a_{n-1})$

Where, $a_{1}=5$

So the recursive formula will be a(n) = $(-2)(a_{n-1})$