The recursive rule for a sequence is f(n)= f(n-1)
———+5
2
The first term is 4. What is the third term?
Please help.
After you clean up your typing
follow the steps Bosnian showed you here ....
https://www.jiskha.com/questions/1803005/What-is-the-third-term-of-the-sequence-defined-by-the-recursive-rule-f-1-2-f-n-2f-n-1-1
That link showed multiplying and this one is dividing.
To find the third term of the sequence, we can use the recursive rule given:
f(n) = f(n-1) + 5/2
Starting with the first term, we are given that f(1) = 4. Let's use the recursive rule to find f(2) and f(3).
1. Finding f(2):
Using the recursive rule, we have:
f(2) = f(1) + 5/2
= 4 + 5/2
= 4 + 2.5
= 6.5
2. Finding f(3):
Again, using the recursive rule, we have:
f(3) = f(2) + 5/2
= 6.5 + 5/2
= 6.5 + 2.5
= 9
Therefore, the third term of the sequence is 9.