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In a list of 200 numbers, each number after the first is 4 more than the number that comes before it. What is the difference between the first and the last number on this list?

Sagot :

Shinalcantaraidn
this involves arithmetic progression or you can have simple analysis
let 'x' be the first number 
the difference is 4
the number of terms is 200
so you'll have:
[tex] A_{n} = A_{1} +(n-1)d[/tex]
[tex] A_{200} = x + (200-1)(4)[/tex]
[tex] A_{200} = x + 199(4)[/tex]
[tex] A_{200} = x + 796[/tex]
since we already have the last term then we may be able to find the difference between the first and the last term
[tex]difference = A_{200} - A_{1} [/tex]
[tex]difference = (x+796) - x[/tex]
                     = 796