Question

The explicit rule for a sequence and one of the specific terms is given. Find the position of the given

term
f(n) -5.5n - 52;25

25 is the BLANK th term

Answer 1

25 is the 14th term.

Explanation:

The nth term of a sequence is given by the following explicit rule:

f(n) =5.5n - 52

We need to find the position n of the term of value 25. In other words, find n in the equation:

5.5n - 52=25

Adding 52:

5.5n =25+52=77

Solving:

n=77/5.5

n=14

25 is the 14th term.