Question

Determine the 50th term of the sequence 100, 92, 84

Answer 1

We can figure this out using what's called an explicit formula.


`f(n)=f(1)+d(n-1)`

n is the term we are looking for.
f(1) is the first term of the sequence, which in this case, is 100.
d is the common difference, which in this case, is -8.

f(n) = 100 - 8(n - 1)
f(n) = 100 - 8n + 8
f(n) = 108 - 8n

Now, we can input 50 for n and solve.

f(50) = 108 - 8(50)
f(50) = 108 - 400
f(50) = -292

The 50th term in this sequence is -292.