1,4,27,256...
How to get the general term?
What do you mean general term?
I think........
1^1
2^2
3^3
4^4
Its from arithmetic and geometric sequence chapter.....and what you wrote is not correct.
I agree with "anonymous"
term(n) = n^n
check:
term(1) = 1^1 = 1
term(2) = 2^2 = 4
term(3) =3^3 = 27
term(4) = 4^4 = 256
odd that it would come from the arithmetic and geometric sequence chapter, unless it is an example of a sequence which is neither.
To determine the general term of the given sequence, we need to identify the pattern or rule that governs the sequence. Let's examine the given sequence: 1, 4, 27, 256...
At a first glance, we can observe that each term in the sequence is a number raised to different powers. The first term, 1, is 1^1. The second term, 4, is 2^2. The third term, 27, is 3^3. The fourth term, 256, is 4^4.
Based on this pattern, we can conclude that the general term of the sequence is n^n, where 'n' represents the position of the term in the sequence. In other words, the general term can be obtained by raising the position number to the power of itself.
Hence, the general term of the given sequence is n^n.