The general formula for an arithmetic sequence is:
a(n) = a + d(n - 1)
a : first term
d : common difference (6)
n : number of the term
In your example, you are told the 6th term is 22.
a(6) = a + 6(6 - 1) = 22
a + 30 = 22
a = 22 - 30
a = -8
So now you have the general formula:
a(n) = -8 + 6(n - 1)
If you like you can simplify it:
a(n) = -8 + 6n - 6
a(n) = 6n - 14
Then you can plug in n = 50:
a(50) = 6(50) - 14
= 300 - 14
= 286
Answer:
c. It is shifted 8 units down.
Step-by-step explanation:
hows ur day been so far? any favorite hobbies?:)
Answer:
46
Step-by-step explanation:
100-14-15-25 is 46
The enlargement will be 9 inches in wide.
<u>Step-by-step explanation:</u>
Given that, Wayne has a recipe on a 3-inch by 5-inch index card that he wants to be large to 15 inches long. And, need to find out the how wide will the enlargement be (L). The width and length of index card vary directly. So, this can express as below,
L = k W
Here, given L = 3 and W= 5, so
Now, find L with W = 15 as below,