  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: recursive   start over

9 items are filed under this topic.    Page1/1            a^(2^n) 2010-10-22 From Tim:I am trying to understand a^(2^n). The hint they give is a^(2^(n+1)) = (a^(2^n))^2 I am writing a program that will solve a^(2^n) recursively but need to understand the power before I begin. I am currently pursuing writing (a) x (a^(2^(n-1))) where the (a^(2^(n-1))) would be the recursive function call a n approaches 0. Once n is 0, the result would be multiplied by a two more times. Anyway, explaining these powers would be appreciated. I will most likely complete the program before the answer but I want to understand the logic of these powers. Thank you, TimAnswered by Stephen La Rocque.     3,6,10,15,and 21 2008-09-28 From jarred:i am currently stumped on a math project that requires me to find out the recursive formula for a sequence of numbers. the numbers in the sequence are 3,6,10,15,and 21. Thank you for your time.Answered by Walter Whiteley.     A recursive formula for 9, -18, 36, -27, ... 2008-06-05 From Rita:I am having trouble understanding how to write formulas (I should say create formulas) from a given sequence. It does not matter what sort of sequence it is. The confusion remains. I have not found a textbook or easy math book that explains this process for the average Joe to grasp. Here are the two questions: (1) Write a recursive formula for the sequence 9, -18, 36, -72, ... (2) Write a recursive formula for the sequence 3, 3(sqrt{3}), 9, 9(sqrt{3})Answered by Penny Nom.     A functional equation 2002-10-14 From Rob:Let f be a function whose domain is a set of all positive integers and whose range is a subset of the set of all positive integers with these conditions: a) f(n+1)>f(n) b) f(f(n))=3(n) Answered by Claude Tardif.     2=the square root of (2 + the square root of (2 + the square root of (2 +...))) 2001-11-05 From Cynthia:justify algebreically, that: 2=the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + and so on, ....... Answered by Penny Nom.     Population growth 2001-05-01 From Gina:Suppose the population of a country increases at a steady rate of 3% a year. If the population is 50 million at a certain time, what will it be 25 years later? Define the recurrence relation that solves this problem. Answered by Penny Nom.     A sequence defined recursively 2001-05-01 From A student:A sequence s is defined recursively as follows: s0=1 s1=2 sk=2sk-2 for all integers - Compute s2,s3,s4... to guess an explicit formula for the sequence sk.Answered by Penny Nom.     A sequence of even terms 2001-04-29 From A student:A sequence c is defined recursively as follows: c0 = 2 c1 = 4 c2 = 6 ck= 5ck-3 for all integers Prove that cn is even for all integers. Answered by Leeanne Boehm and Penny Nom.     Cutting a Pizza 1998-09-09 From Woody:what is the greatest number of pieces of pizza you can form if you use five straight cuts to cut the pizza? answer given is 16. please draw a diagram of the answer. thanks, woodyAnswered by Penny Nom.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français