SOLUTION: given that 4,12,x,y,324,972 is a geometrical sequence. find the sum of x and y
Algebra.Com
Question 1099119: given that 4,12,x,y,324,972 is a geometrical sequence. find the sum of x and y
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
geometris sequence formula is An = A1 * r^(n-1)
A1 is equal to 4, n = 1
A2 is equal to 12, n = 2
formula from A1 to A2 becomes 12 = 4 * r^(1) which becomes 12 = 4 * r
solve for r to get r = 12/4 = 3
A3 is therefore equal to 4 * 3^2 = 36
A4 is therefore equal to 4 * 3^3 = 108
A5 is therefore equal to 4 * 3^4 = 324
A6 is therefore equal to 4 * 3^5 = 972
your sequence is 4,12,36,108,324,972
x = 36
y = 108
x + y = 144
on a recursive basis, the formula is A[n+1] = A[n]*r
since r = 3, this means the next term in the sequence is the previous term multiplied by 3
start with 4 * 3 = 12 * 3 = 36 * 3 = 108 * 3 = 324 * 3 = 972
x is the third term in the sequence
y is the fourth term in the sequence.
x = 36
y = 108
sum of x and y = 144.
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