algebra
posted by jason .
What number must be added to each of the numbers 0, 8, and 32 so that they form consecutive terms of a geometric sequence?
I don't understand what the question is asking first of all.
The answer is 4.
Help is much appreciated.

algebra 
Ms. Sue
"A geometric sequence goes from one term to the next by always multiplying (or dividing) by the same value. So 1, 2, 4, 8, 16,... and 81, 27, 9, 3, 1, 1/3,... are geometric, since you multiply by 2 and divide by 3, respectively, at each step."
 http://www.purplemath.com/modules/series3.htm 
algebra 
Steve
A geometric sequence cannot start with 0, or all the terms will just stay 0.
So, you want n such that each term is a constant multiple of the one before.
(8+n)/(0+n) = (32+n)/(8+n)
(8+n)^2 = n(32+n)
64 + 16n + n^2 = 32n + n^2
64 = 16n
n=4
So, the sequence starts out 4,12,36,... with each term 3x the previous one.
Respond to this Question
Similar Questions

Math....Please help I have a deadline for tonight!
Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following: b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? 
My Retyped Algebra Post
1. Use the arithmetic sequence of numbers 2,4,6,8,10.. to find the following: a)What is d, the difference between any consecutive terms? 
maths
three number form an arithmetric sequence. Their sum is 24. A)If 'a' is the first number and 'd' the common difference, show that a+d=8 B)If the first number is decreased by 1 and the second number by 2, the three numbers then form … 
Math *URGENT
Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 
Math (Geometric Progression)
5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? 
math
in an arithmetic sequence the common difference is equal to 2.the first term is also the first term of a geometric sequence. the sum of the first 3 terms of an arithmetic sequence and the sum of the first 9 terms of an arithmetic sequence … 
math
in an arithmetic sequence whose first term is 4, the 1st, 3rd and 7th terms form consecutive terms of geometric sequence, find the sum of the first three terms of the arithmetic sequence 
Math
What number must be added to each of 4, 7, 12 so that the resulting numbers form a geometric sequence? 
algebra
1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term. 2. Insert a geometric mean between k and 1/k. 3. If 2 and 3 are two geometric means between m and n, fond … 
math
What number must be added to each of the numbers 1, 3, and 6 in order for the resulting numbers to form a geometric sequence?