Here is a number pattern: 1/2, 1/4, 1/6, 1/8, 1/10.
Write an expression for the nth term
n = 1
Denominator = 2 = 2 * 1
n = 2
Denominator = 4 = 2 * 2
n = 3
Denominator = 6 = 2 * 3
n = 4
Denominator = 8 = 2 * 4
n = 5
Denominator = 10 = 2 * 5
Expression for the n-th term:
1 / 2n
What is the 11th term in the sequence −1, 4, −9, 16, −25, ..? *
To find the expression for the nth term of the number pattern 1/2, 1/4, 1/6, 1/8, 1/10, we can observe that the terms are getting smaller by 1/2 each time.
So, the common difference between the terms is 1/2.
Starting with the first term, 1/2, the expression for the nth term can be written as:
1/(2n)
Therefore, the expression for the nth term of the given number pattern is 1/(2n).
To find an expression for the nth term of the given number pattern, we need to analyze the pattern and identify any recurring relationships between the terms.
We can observe that each term in the pattern is of the form 1/(2n), where n represents the position of the term in the sequence.
Using this information, we can write the expression for the nth term as 1/(2n).
Therefore, the expression for the nth term of the given number pattern is 1/(2n).