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4.
3. On the first day of summer, Jackson landed in Japan
with $7440 in his account. He plans to spend an
average of $120 each day on his tour of Asia.
a) Write recursive and explicit functions m(t) to represent
the amount money left at t days.
Recursive:
Explicit:
R

Respuesta :

sqdancefan

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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