3 years ago

4.

Mathematics

1 answer:

rusak2 [61]3 years ago

5 0

Answer:

recursive: a[1] = 7440; a[n+1] = a[n] -120
explicit: a[n] = 7440 -120(n -1)

Step-by-step explanation:

The sequence of amounts in Jackson's account will be ...

7440, 7320, 7200, ...

with a first value (a1) of 7440 and a common difference (d) of -120.

The recursive formula for an arithmetic sequence is ...

a[1] = a1

a[n+1] = a[n] +d

For our sequence, the recursive formula is ...

a[1] = 7440

a[n+1] = a[n] -120

The explicit formula for an arithmetic sequence is ...

an = a1 +d(n -1)

For our sequence, the explicit formula is ...

a[n] = 7440 -120(n -1)

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