Consider the following numeric sequence. If the sequence is to continue with the same general rule, determine the next term in the sequence. Give your answer in the space provided.1; 3; 9; 27; 81; ...
Question
Consider the following numeric sequence. If the sequence is to continue with the same general rule, determine the next term in the sequence. Give your answer in the space provided.1; 3; 9; 27; 81; ...
Solution
The sequence you provided is a geometric sequence, where each term is multiplied by a common ratio to get the next term.
Here are the steps to find the next term:
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Identify the common ratio: This is done by dividing a term in the sequence by the previous term. For example, 3/1 = 3, 9/3 = 3, 27/9 = 3, 81/27 = 3. So, the common ratio is 3.
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Multiply the last term by the common ratio: The last term given in the sequence is 81. Multiply this by the common ratio (3) to find the next term.
81 * 3 = 243
So, the next term in the sequence is 243.
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