# Math Question

What is the 50th term of the sequence that begins -6,0,6,12?

292
288
286
290

1. 👍 0
2. 👎 0
3. 👁 197
asked by Josh
1. Figure out the rule of the sequence in terms of n, the number of terms

We have common difference =6
T(0)=-12
T(1)=-6
T(2)=0
T(3)=6
Let's try
T(n)=-12+6n
so T(1)=-12+6=-6
T(2)=-12+6*2=0
T(3)=-12+6*3=6,...
It works.
So
T(50)=-12+50*6=288

1. 👍 0
2. 👎 0

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