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There are very many possible solutions. The simplest polynomial solution is t(n) = (n^4 - 14n^3 + 71n^2 + 14n + 24)/24.
17
14.5
17:50
7n - 4
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
The nth term is 7n-4 and so the next number in the sequence is 31
31
24
The sequence progresses by adding 7 to the previous term.The nth term is thus equal to 10 + 7n. The 11th term therefore is equal to 10 + (7 * 11) = 10 + 77 = 87.
17/12 17 over 12
4k + 24 = 6k - 10 subtract 4k from each side 4k - 4k + 24 = 6k - 4k - 10 24 = 2k - 10 add 10 to each side 10 + 24 = 2k - 10 + 10 34 = 2k divide each side integers by 2 17 = k ------------check 4(17) + 24 = 6(17) - 10 68 + 24 = 102 - 10 92 = 92 checks
Subtract 7 from each number, so the 9th number would be 59.
Firstly 10% = 17 and 20% = 34 so answer is between 10% and 20% i.e. 24 is betwen 17 and 34 24 / 170 = 0.1411764 = 14.11764 %
There are very many possible solutions. The simplest polynomial solution is t(n) = (n^4 - 14n^3 + 71n^2 + 14n + 24)/24.
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