Convert the recursive equation that is below into an explicit equation where a is the initial value and the time elapsed is 1 ye

Question

marin [14]

3 years ago

9

Convert the recursive equation that is below into an explicit equation where a is the initial value and the time elapsed is 1 ye

ar.

Mathematics

1 answer:

aleksley [76] · Answer 1 · 2022-07-09T18:18:51+03:00

Answer:

f(n) = a+200(n -1)

Step-by-step explanation:

The constant difference between terms indicates the sequence is an arithmetic one. The explicit formula for an arithmetic sequence is ...

an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

Your first term is "a", and your common difference is 200, so the n-th term of the sequence is ...

an = a + 200(n -1)

Written as a function of n, this is ...

f(n) = a + 200(n -1)

_____

Based on the problem description, we cannot tell how n relates to time, so we have created an f(n) that gives the same result as the recursive definition of f(n).