Q: What is the nth term for 7 10 15 22 31 42?

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It is: nth term = 29-7n

The nth term is 3n+7 and so the next number will be 22

Balls deep

The nth term is -7n+29 and so the next term will be -6

The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.

6n+10

It is: -6n+22

What is the 100th 1,8,15,22

The nth term is 22n and so the next number will be 5*22 = 110

1,7,13,19

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

If you meant: 2 12 22 32 then the nth term = 10n-8

t(n) = 29 - 7n where n = 1, 2, 3, ...

t(n) = 4 + 6n where n = 1, 2, 3, ...

3n+1

+9

5n - 3

5

5n+2

Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...

4 10 16 22 28 34 40 ....... Each term is increased by 6 or nth term = 6n-2

You must mean what is the next number in the series, not the 'nth', which is undefined. The next number is 58.

tn=5n-3

x2-3=n

To find out the equation for a sequence, the first thing you note is the difference between the numbers. In this case the difference is: -8, -8, -8, -8 Thus the formula will be x-8n where x is not yet known. For linear sequences like the one above, x is the 0th term. In this case it would be the term that would come before 22, or 22+8, or 30. Thus the equation for the nth term is 30-8n

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