Formula for nth term
Tn = a + (4n - 1) {where a is the first term and n is natural number}
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.
Tn = 1 + 3n
Well, darling, it looks like we're dealing with a sequence where each number is increasing by a prime number. The nth formula for this sequence would be n^2 + n + 7. So, if you plug in n=1, you get 8; n=2 gives you 11; n=3 spits out 16; and so on. Keep it sassy and stay fabulous, my friend!
16
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.
Tn = 1 + 3n
Un = 29 - 9n
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
The Nth term in the series is [ 2N ] .
Well, darling, it looks like we're dealing with a sequence where each number is increasing by a prime number. The nth formula for this sequence would be n^2 + n + 7. So, if you plug in n=1, you get 8; n=2 gives you 11; n=3 spits out 16; and so on. Keep it sassy and stay fabulous, my friend!
16
n2
6n+10
t(n) = 28-3n where n = 1,2,3,...
Please note that (a) this is a sequence of square numbes, and (b) the sequence starts at 22.