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What is the equation of an inverse relationship?
The equation is xy = k where k is the constant of variation. It can also be expressed y = k over x where k is the constant of variation.
A geometric sequence is defined recursively by an equals 12an-1 The first term of the sequence is 0.001 Which of the following is the explicit formula for the nth term of the sequence?
n=1 a(1) = 0.001 n=2 a(2) = 0.012 n=3 a(3) = 0.144 n=4 a(4) = 1.728 n=5 a(5) = 20.736 .... n=k a(k) = (12^(k-1))/1000 let n = k+1 a(k+1) = 12^(k)/1000 12(ak) = a(k+1) 12(12^k-1)/1000 = 12^k/1000 the 12 gets absorbed here. 12^(k-1+1)/1000 = 12^k/1000 Valid for k and k+1 therefore our equation A(n) = 12^(n-1)/1000, n(greater than or equal to) 1
In the equation m = k + 3, m is the:?
In the equation m = k + 3, m is the:
What are common multiples of 4 and 6?
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132 and 144 are just a few (note the Least Common Multiple is 12, and any multipleof 12 will be a common multiple of 4 and 6)
What is the equation for inverse variation?
if x varies inversely as y then xy is a constant (k) eg if x doubles as y halves then examples are: x = 6, y = any then k = 6y when x = 12, y = any/2 then k = 12/2 times any ie 6y.
