What is the next number in the sequence? -972,324,-108,36,-12,...
Question
What is the next number in the sequence? -972,324,-108,36,-12,...
Solution
The sequence appears to be a geometric sequence, where each term is multiplied by a common ratio to get the next term.
Step 1: Identify the common ratio The common ratio can be found by dividing a term in the sequence by the previous term.
324 / -972 = -1/3 -108 / 324 = -1/3 36 / -108 = -1/3 -12 / 36 = -1/3
So, the common ratio is -1/3.
Step 2: Apply the common ratio to the last term To find the next number in the sequence, multiply the last term by the common ratio.
-12 * -1/3 = 4
So, the next number in the sequence is 4.
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