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Q: Can you find the nth term from the pattern 5 12 21 32?

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There is no pattern

The nth term is equal to 4n.

The nth term is (2n - 12).

It is: nth term = 7n-9

If you mean: 6 12 18 24 then the nth term is 6n

nth term= 6 + (n-1) (2)

For {12, 15, 18} each term is the previous term plus 3; a general formula for the nth term is given by t(n) = 3n + 9. For {12, 24, 36} each term is the previous term plus 12; a general formula for the nth term is given by t(n) = 12n.

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

The nth term of the sequence is expressed by the formula 8n - 4.

Expressed in terms of n, the nth term is equal to 7n - 2.

12 - 5(n-1)

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

nth term is n squared plus three

The nth term of that series is (24 - 6n).

The nth term is 18 -3n and so the next term will be 3

If you mean: 8 28 48 and 68 then the nth term is 20n -12 and so the next number will be 88

Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.

The nth term is -4n+102. Method: To find the nth term (Tn) of the sequence, multiply n by the pattern of change in the sequence from left to right (-4). Then, substitute n for a term, for example, term 2. Follow the first step (-4n) which will give -8. Then you add or subtract to equal the number of that term (94). -8+x=94. x=102. Therefore, the formula for the nth term is -4n+102. To prove it, try with any term. Term 3 (the number is 90). 3 x -4 = -12 -12 + 102 = 90 Tada!

3n

3n

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.

44

28 - 8n

2n - 12

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