Question
Find the 100th term in the sequence 77,71,65,59,....
Answers
MathMate
The fact that you need to find the 100th term means you need to find the general rule of T(n), the nth term.
Since the difference between terms is 71-77=-6, we conclude that
T(n)=-6n+k
We know that the first term, T(1) = 77.
Therefore 77=-6(1)+k, or k=83
Thus the general rule is
T(n) = 83-6n
I'll leave it to you to find the 100th term.
Since the difference between terms is 71-77=-6, we conclude that
T(n)=-6n+k
We know that the first term, T(1) = 77.
Therefore 77=-6(1)+k, or k=83
Thus the general rule is
T(n) = 83-6n
I'll leave it to you to find the 100th term.
Danachka
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