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.3; 9; 19; 33; 51; ...Your answer
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.3; 9; 19; 33; 51; ...Your answer
Solution
The given sequence is: 3, 9, 19, 33, 51
To find the rule of the sequence, let's look at the differences between consecutive terms:
9 - 3 = 6 19 - 9 = 10 33 - 19 = 14 51 - 33 = 18
The differences between the terms are increasing by 4 each time.
So, the difference between the next term and the last term (51) should be 18 + 4 = 22.
Therefore, the next term in the sequence should be 51 + 22 = 73.
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