Question 1133111: the numbers 4,7,10,13,16 where each number is three greater than the number preceding it, are written in order in a book, one hundred to a page. The first group of one hundred numbers begins on page 526. on which page number 2005 be located?
Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! the formula for the nth term in an arithmetic progression is
:
a(n) = a(0) +d(n-1), where a(0) is the first term, d is the common difference
:
for this problem, a(n) is 2005, a(0) is 4 and d is 3
:
we want to find n for the term 2005
:
2005 = 4 +3(n-1)
:
3(n-1) = 2001
:
3n -3 = 2001
:
3n = 2004
:
n = 668
:
there are 100 numbers per page, then
:
668/100 = 6 with a remainder of 68
:
***********************************
2005 is found on page 526 + 7 = 533
***********************************
:
Answer by MathLover1(20850)  (Show Source):
|
|
|
