Question

Write the recursive and explicit equation for each sequence.

0| -3
1| -3/4
2| -3/16
3| -3/64
4| -3/256
5| -3/1024
Recursive: ???
Explicit: ???

Answer 1

The recursive equation is an = an-1 - 3/(4n) and the explicit equation is an = 0 + (-1)n × 3/(4n).

Step-by-step explanation:

The given sequence is: 0, -31, -3/4, 2, -3/16, 3/64, -3/256, 5

The recursive equation for the sequence is:

an = an-1 - 3/(4n)

The explicit equation for the sequence is:

an = 0 + (-1)n × 3/(4n)