ALGEBRA PLEASEEEE I NEED HELP

Question

Determine the 7th term of a sequence defined by the recursive rule f(1)=181 and f(n-1)-17

Answer 1

Hi, May R.!

My understanding of the problem is that you are given f(1) = 181 and f(n-1) - 17.

The second term would be f(2) = f(2-1) - 17

= f(1) - 17

= 181 - 17 = 164

The third term would be f(3) = f(2) - 17

= 164 - 17 = 147

So you are subtracting 17 from each previous term to get the next.

The 7th term would subtract 17 six times from the first term, 181.

f(7) = 181 - 6(17)

= 181 - 102 = 79

I hope this helps!

Best, Karen

Answer 2

f(n) = f(n - 1) - 17; f(1) = 181, n ≥ 2.

This is arithmetic sequence with a₁ = f(1) = 181 and d = - 17. So f(7) = a₇ = a₁ + 6d = 181 - 102 = 79