Question

Find the next term in the series 12,17,27,24,18,23,33​

Answer 1

Answer:

The next term of the given series is $30$.

Step-by-step explanation:

In the given series, let us check the difference between adjacent numbers.

That is ,

$17-12=5\\27-17=10\\24-27=-3\\18-24=-6\\23-18=5\\33-23=10$

series of differences is $5,10,-3,-6,5-10$,    since the differences are repeating, the next difference would be $-3$.

Therefore, the next term is $33+-3=30$.

Hence the answer.

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