Question

What is the recursive formula for this arithmetic sequence 6, -24, 96, -384

A. a1=6

an=an-1*(-4)

B. a1=6

an=an-1*4

C. a1=4

an=an-1*(-6)

D. a1=4

an=an-1*6

Answer 1

Option A.
`a_(1) =6`
`a_(n)= a_(n-1)(-4)`

Explanation:

The given sequence in the question is 6,-24,96,-384.......n

and we have to give the recursive formula for this arithmetic sequence.

We can re write the sequence to make it more simpler

6,6(-4),(-24)(-4),(96)(-4).......n terms

Now we can say
`a_(1) = 6`

and
`a_(n)= a_(n-1)(-4)`

Therefore the recursive formula of the sequence is
`a_(1) = 6`

`a_(n)= a_(n-1)(-4)`