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To find the next term in the quadratic sequence 6, 18, 40, 72, 114, we first determine the second differences. The first differences are 12, 22, 32, and 42, while the second differences are 10, 10, and 10, indicating it is indeed quadratic. The next first difference would be 52, leading to a new term of 114 + 52 = 166. Therefore, the next term in the sequence is 166.

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1mo ago

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To find the nth term of the sequence 4, 10, 18, 28, 40, we first identify the pattern in the differences between consecutive terms: 6, 8, 10, and 12. The second differences are constant at 2, indicating a quadratic sequence. The nth term can be expressed as ( a_n = n^2 + n + 2 ). Thus, the nth term of the sequence is ( n^2 + n + 2 ).


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40%/100% * 285 = 114


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18 is what percent of 40= 18 / 40= 0.45Converting decimal to a percentage:0.45 * 100 = 45%


Can you count on with the numbers 8 22 40 85?

Yes, you can count on with the numbers 8, 22, 40, and 85 by identifying a sequence or pattern. For instance, you can observe that each number is increasing, and you can find the differences between them: 14 (22 - 8), 18 (40 - 22), and 45 (85 - 40). While they don't form a simple arithmetic sequence, they can still be used to demonstrate counting in a broader context.


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