What is the nth term rule of 7,9,11,13,15
2 answers:
Answer:
= 2n + 5
Step-by-step explanation:
There is a common difference between consecutive terms, that is
9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 2
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 2 , then
= 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5
You might be interested in
As the name suggests, the slope-intercept form requires you to find the slope and the intercept. Slope-intercept form is y=mx+b
You can find slope by rise over run, or get two points and plug them into the following formula:
. However, if you see that x values increase by one, you can just find the difference between two y values. In this case, the difference is +5 each time, therefore, the slope or <em>m </em>is 5
The intercept is where x=0. Since we know that (1,2) is a point, we subtract 5 from 2 to get the intercept. Therefore, the intercept is -3
Therefore, the formula is y=5x-3
You can find slope by rise over run, or get two points and plug them into the following formula:
The intercept is where x=0. Since we know that (1,2) is a point, we subtract 5 from 2 to get the intercept. Therefore, the intercept is -3
Therefore, the formula is y=5x-3