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Q: What is the nth term for the sequence 7 12 17?

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

5

tn=5n-3

It is: nth term = 35-9n

t(n) = 12*n + 5

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

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

The nth term is 25-4n and so the next term will be 5

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

7n - 4

44

Just subtract 9.

The nth term is given by: rn = n2 + 8

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

7(n2-1) - 4

It is: 27-2n

5, 11, 17, 23, 29

5n - 3

5n+2

The sequence goes up by 5 each time; the first term is two. So the nth term is 2 + 5n. n=50 => 2+50*5 = 252.

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

9, 17, 25, 33, 41

35 * * * * * That is the next term. The question, however, is about the nth term. And that is 6*n - 1

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.

5, 8, 11, 14 and 17.