SOLUTION: 1a. Consider the following sequence of figures. Figure 1 contains 5 line segments. Figure 2 contains 9 and figure three contains 13. Given that figure n contains 801 line seg

Algebra ->  Sequences-and-series -> SOLUTION: 1a. Consider the following sequence of figures. Figure 1 contains 5 line segments. Figure 2 contains 9 and figure three contains 13. Given that figure n contains 801 line seg      Log On


   



Question 1096823: 1a. Consider the following sequence of figures.
Figure 1 contains 5 line segments.
Figure 2 contains 9 and figure three contains 13.
Given that figure n contains 801 line segments, show that n=200.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Figure       segments
  1              5
  2              9
  3             14
  .              .
  .              .
  .              .
  n            801


Arithmetic sequence with first term a1 = 5, 
common difference d = 4, given an = 801,

a%5Bn%5D%22%22=%22%22a%5B1%5D%2B%28n-1%29d

801%22%22=%22%225%2B%28n-1%294

801%22%22=%22%225%2B4%28n-1%29

801%22%22=%22%225%2B4n-4

801%22%22=%22%221%2B4n

800%22%22=%22%224n

200%22%22=%22%22n

Edwin