Question

The 1st term in a sequence is 12. The sequence decreases by 17% each term. What was is the recursive function that will represent the situation

Answer 1

Answer:

$a_n=\frac{83}{100}*a_{n-1},where\:a_1=12$

Step-by-step explanation:

If the first term of the sequence is 12, then $a_1=12$

Since the sequence by 17% each term, there is a common ratio of $r=1-0.17\\\implies r=\frac{83}{100}$

Therefore the sequence is a geometric sequence.

The recursive formula is given as:

$a_n=a_{n-1}*r$

We substitute the common ratio to obtain:

$a_n=\frac{83}{100}*a_{n-1},where\:a_1=12$