Question

Find the first 5 terms of the recursive sentence. Simplify any fractions, if necessary.

d(1)=1/12
d(n)=d(n-1)x(-6)

Answer 1

The first 5 terms of the recursive sequence d(n) = d(n-1) x (-6) are 1/12, -1/2, 3, -18, and 108.

Step-by-step explanation:

1. The first term, d(1), is given as 1/12.
2. To find the next term, d(n), you need to multiply the previous term, d(n-1), by -6.
3. Therefore, d(2) = d(1) x (-6) = (1/12) x (-6) = -1/2.
4. Continuing this pattern, we find that d(3) = -1/2 x (-6) = 3 and d(4) = 3 x (-6) = -18.
5. Finally, we have d(5) = -18 x (-6) = 108.