It is 4n+5 and so the next term will be 25
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Oh honey, looks like we're counting down by 4 each time. So, if we keep that pattern going, the next number would be 5. So, the nth term in this sequence is 21 - 4n, where n is the position of the term in the sequence.
You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4
> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3
13 10 17 15 21 13 - 10 = -3 10 - 17 = +7 17 - 15 = -2 15 - 21 = +6 The negative numbers alternate with the positive numbers The negative numbers are augmented by +1 each step The positive numbers are diminished by -1 each sterp So the next step from 21 is a negative and should be -2 increased by +1 to -1 giving a new value of 20 Then the next step is a positive and should be +6 decreased by -1 to +5 giving 25 13 - 10 = -3 10 - 17 = +7 17 - 15 = -2 15 - 21 = +6 21 - 20 = -1 20 - 25 = +5
n'th term: n^2 + 5