Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
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.
Un = 29 - 9n
Tn = 1 + 3n
The Nth term in the series is [ 2N ] .
The nth term of this sequence is 3n + 4
Please note that (a) this is a sequence of square numbes, and (b) the sequence starts at 22.
The nth term in the sequence means an unspecified number an unspecified distance along the series. 8 16 32 64 128... n. It is also a shothand notation so the reader knows that the sequence continues.
(n+1)^2 Please tell me you know what that means.
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.
While there are not enough numbers to fully clarify the nth term of the sequence, according to the sequence so far it appears that the nth term is equal to n4. Therefore, the next number will equal 44 = 256
8 + 4n
1, 16, 81, 256 14641 is the 11th term.
The 8th term is 64. The sequence is the squares of the counting numbers. The nth term is given by t(n) = nÂ².
tn = n2
Finding the nth term is much simpler than it seems. For example, say you had the sequence: 1,4,7,10,13,16 Sequence 1 First we find the difference between the numbers. 1 (3) 4 (3) 7 (3) 10 (3) 13 (3) 16 The difference is the same: 3. So the start of are formula will be 3n. If it was 3n, the sequence would be 3,6,9,12,15,18 Sequence 2 But this is not our sequence. Notice that each number on sequence 2 is 2 more than sequence 1. this means are final formula will be: 3n+1 Test it out, it works!
The nth term is: 4n
Given n and any number for the nth term, it is a simple matter to find a rule such that the above four numbers are the first four of a sequence and the given number in the nth position.However, the simple answer for simple questions is Un = 4n
The sequence is 2 larger than the 7 times table. The nth term can be expressed as 7n + 2.
The nth term is 2n
Tn=4n+16 If you see, it goes like 20, 24,28,..... So, Tn is just equal to 20+(n-1)4, with first term=20, common difference=4
The numbers are increasing by increments of 1 2 3 4 5 ..... and so the next number in the sequence will be 22