Q: What is the nth term of the sequence of 3 6 9 12?

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12 - 5(n-1)

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

If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .

The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)

There is no pattern

If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .

The nth term of the sequence is 2n + 1.

The nth term in this sequence is 4n + 3.

tn=5n-3

9

The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.

One of the infinitely many possible rules for the nth term of the sequence is t(n) = 4n - 1

3,6,9,12.....

If you mean: 3, 4, 5, 6 and 7 then nth term = n+2

The nth term is 4n-1 and so the next term will be 19

81

If you mean 3, 6, 9, 12 then the nth term is 3n

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

The nth term is 3(n+1). The twenty-third term is equal to 3 x (23 + 1) = 72

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

nth term is 8 - n. an = 8 - n, so the sequence is {7, 6, 5, 4, 3, 2,...} (this is a decreasing sequence since the successor term is smaller than the nth term). So, the sum of first six terms of the sequence is 27.

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!

10

> 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