How would you describe the pattern of this sequence?
2/3, 4/4, 6/5, 8/6, 10/7
The formula is 2n/n+2 where n is 1, 2, 3, 4, 5
I do not know a better way than to say the terms are 2n/(n+2)
Okay, so if the directions say describe the pattern, is that all I would put?
The pattern of this sequence is described by the formula 2n/(n+2), where n starts at 1 and increases by 1 for each term.
To describe the pattern of the given sequence, we can first examine the formula provided:
The formula 2n/(n+2) is used to generate each term in the sequence. Here, n represents the position or index of the term in the sequence.
Let's break it down:
For the first term (n=1), when we substitute the value of n into the formula, we get 2(1)/(1+2) = 2/3.
For the second term (n=2), the formula gives us 2(2)/(2+2) = 4/4, which simplifies to 1.
For the third term (n=3), the formula yields 2(3)/(3+2) = 6/5.
For the fourth term (n=4), the formula gives us 2(4)/(4+2) = 8/6, which simplifies to 4/3.
For the fifth term (n=5), the formula yields 2(5)/(5+2) = 10/7.
Therefore, the pattern in this sequence is as follows:
2/3, 1, 6/5, 4/3, 10/7.
Each term alternates between a fraction and a whole number as n increases by 1. The corresponding fractions follow the pattern of the formula 2n/(n+2), where n is 1, 2, 3, 4, 5.