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Q: What is the nth term in the sequence 21 17 13 9?

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I suspect that the first term should be "negative 3", ie the sequence is -3, 1, 5, 9, 13, 17, ... The nth term is 4n - 7

It is: nth term = 35-9n

The nth term is 5n-3 and so the next term will be 22

The nth term is 2n+5 and so the next number is 17

The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.

5

7n - 4

The nth term is: 3n+2 and so the next number will be 20

tn=5n-3

Just subtract 9.

The nth term is 7n-4 and so the next number in the sequence is 31

7(n2-1) - 4

It is: 2n+9

n+4

The nth term is 4n - 3

It is 4n+5 and so the next term will be 25

It is: 27-2n

5, 11, 17, 23, 29

9, 17, 25, 33, 41

This is an Arithmetic Series/Sequence. In general the nth term, A(n) = a + (n - 1)d....where a is the 1st term and d is the common difference. In this question, the 1st term equals 1 and the common difference is 4. Then the nth term, A(n) = 1 + (n - 1) x 4 = 1 + 4n - 4 = 4n - 3.

t(n) = 12*n + 5

5, 8, 11, 14 and 17.

The sequence is simply achieved by adding 2 to each value9+2=1111+2=1313+2=1515+2=1717+2=1919+2=21so the nth term can be calculatedThe value of the nth term = the value of (nth-1 term) +2.

The nth term is: 2n+7 and so the next number will be 19

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

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