SOLUTION: Resubmission of a question(In the previous question I made, I said only the length of the side of a square, rather than saying the length of the side of a square garden.) The ta

Algebra ->  Sequences-and-series -> SOLUTION: Resubmission of a question(In the previous question I made, I said only the length of the side of a square, rather than saying the length of the side of a square garden.) The ta      Log On


   

Question 1196601: Resubmission of a question(In the previous question I made, I said only the length of the side of a square, rather than saying the length of the side of a square garden.)
The table below shows the length of a side of a square garden and the perimeter of the garden.
Length of side: 1| Perimeter: 4
Length of side: 2| Perimeter: 8
Length of side: 3| Perimeter: 12
Length of side: 4| Perimeter: 16
Length of side: 5| Perimeter: 20
Do the numbers in the perimeter row form an arithmetic sequence? If so, what is the common difference?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

 a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad
 IF a%5B1%5D+=+4, a%5B2%5D+=+8, a%5B3%5D+=+12, etc
a%5B2%5D=4%2B%282-1%29%2Ad
 8=4%2Bd  and d = 4
a%5B3%5D=4%2B%283-1%29%2A4+=+12+
and
a%5B4%5D=4%2B%284-1%29%2A4+=+16+
and 
a%5B5%5D=4%2B%285-1%29%2A4+=+20+
numbers in the perimeter row DO form an arithmetic sequence with d=4
Wish You the Best in your Studies.