Question

Complete the recursive formula of the geometric sequence -1.5\,,\,6\,,-24\,,\,96,...−1.5,6,−24,96,...minus, 1, point, 5, comma, 6, comma, minus, 24, comma, 96, comma, point, point, point.

d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals


d(n)=d(n-1)\cdotd(n)=d(n−1)⋅d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, dot

Answer 1

N=13 or just 13

Step-by-step explanation: I got it off of khan

Answer 2

`d(1)=-1.5` and recursive formula is
`d(n)=d(n-1)\cdot (-4)`.

Explanation:

The given geometric sequence is

`-1.5, 6, -24, 96,...`

Here, the first term is -1.5. So

`d(1)=-1.5`

Second term is 6. So,

`d(2)=6`

In the given geometric sequence, the common ratio is

`r=(d(2))/(d(1))=(6)/(-1.5)=4`

The recursive formula of the geometric sequence is

`d(n)=d(n-1)\cdot r`

where r is common ratio.

`d(n)=d(n-1)\cdot (-4)`

Therefore, the recursive formula is
`d(n)=d(n-1)\cdot (-4)`.