Question

Abraham is writing a recursive function for the geometric sequence:

24, 12, 6, 3,

Khan Academy Problem PLEASE HELP

Answer 1

Answer: C

Explanation:

Khan

Answer 2

a1 = 24

an = an-1 × 1/2, n >1

Explanation:

a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.

so, we multiply 24 by something to get 12.

and then 12 by the same something to get 6.

and then 6 by the and something to get 3.

do you see the pattern ? hmmm ?

right, we always divide by 2 (or multiply by 1/2).

the starting value a1 = 24

so,

an = an-1 × 1/2, n>1

or

`an = a1 * {(1 / 2)}^(n - 1)`

n>1