Posted by Anonymous on Sunday, November 11, 2012 at 2:30pm.
What are the missing numbers in this sequence?
1.25, 3.5, 8, 17, 35, 71, ___, ___, 575,...

math  Reiny, Sunday, November 11, 2012 at 5:37pm
If you make a difference table, you will see that
they are:
1.25, 4.5 , 9 , 18 , 36
starting at the second the difference is twice the previous difference
e.g t5 = t4 + 2(t4  t3) = 3t4  2t3
in general
t(n+1) = 3t(n)  2t(n1) , n> 2, t(1) = 1.25 , t(2) = 3.5
so
t(7) = 3t(6)  2t(5) = 3(71)2(35) = 143
t(8) = 3t(7)  2t(6) = 3(143)  2(71) = 287
check:
t(9) = 3t(8) 2t(7) = 3(287)  2(143 = 575 , YEAHHH
Answer This Question
Related Questions
 Math  What are the missing numbers in this sequence? 1.25, 3.5, 8, 17, 35, 71, ...
 math  Find the missing numbers to complete the patterns. Some are arithmetic ...
 math  Use the following missing pieces to complete the runaway math puzzle. 2 6...
 math  Show how to make one addend the next ten number. complete the new ...
 calculus  Leave any unneeded answer spaces blank. [Hint: use synthetic division...
 statistics  Terms and Definitions matching ___ Statistics ___ Discrete variable...
 science  freezing and thawing cycle that causes potholes in roads and breaks in...
 Math  I'm stumped on this one too: s e e d + i c e d  s p i c e c= ...
 Math  find the missing numbers and landmarks 18,20,20,24,27,27___,30,33,34,36,...
 French  I would like to double check my fill in the blank answers. Merci! 26. ...
More Related Questions