can you help me:
i need to let n equal the term number. i need to figure out the expression for the following number sequence:
1, 4, 9, 25, 36
i cant figure this out
is this right for table
term # 1 2 3 5 6
term 1 4 9 25 36
expression n squared n2
correcto!
Of course! Let's figure out the expression for the given number sequence.
To find the expression for a number sequence, we first need to observe the pattern. Looking at the given sequence, we can see that the terms are the squares of consecutive natural numbers.
The pattern is as follows:
- The first term is 1, which is the square of 1.
- The second term is 4, which is the square of 2.
- The third term is 9, which is the square of 3.
- The fourth term is 25, which is the square of 5.
- The fifth term is 36, which is the square of 6.
From this pattern, we can conclude that the nth term of the sequence is the square of n.
Therefore, the expression for this number sequence is:
n^2
In your case, where you want to let n equal the term number, the expression specifically becomes:
n^2
So, to find the value of any term in the sequence, substitute the desired term number in place of n in the expression n^2.
I hope this explanation helps you understand how to find the expression for a number sequence! Let me know if you have any further questions.