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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
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.
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.
What number does 12 and 14 both go into?
Any number of the form 84*k, where k is an integer, is evenly divisible.
Find the common multiples of 12 and 14?
They are members of the infinite set of numbers of the form 84*k where k is any integer.
How do you solve 7 9 plus k equals 84?
79 + k = 84 84 - 79 = k k = 5
How can you graph y equals a number using ti-84?
To graph the equation ( y = k ) (where ( k ) is a constant) on a TI-84 calculator, first press the "Y=" button to access the function editor. Then, enter the value of ( k ) in one of the function lines (e.g., ( Y_1 = k )). After that, press the "GRAPH" button to display the horizontal line representing the equation on the graphing screen. Adjust the window settings if necessary to ensure the line is visible.
What are the common multiples of 4 12 28?
They are members of the infinite set of numbers of the form 84*k where k is an integer. Since the set is infinite, it is not possible to list them.
Write the point-slope equation of the line that goes through 5 3 with a slope of -12?
A line in the X-Y plane follows an equation y = (slope X x) plus a constant k. In this instances, 5 = [(-12)(3)] + k, or k = 5 + 36 = 41. Therefore, the equation is: y = -12x + 41.
What is the trinomial equation of k2 plus 3k equals 108?
k2 + 3k =108k2 + 3k - 108 = 0(k - 9) (k + 12)k = -9 , k = 12ANSWER:k = -9 , k = 12I hope this helps!
If y varies inversely as x and y equals 12 when x equals 6 what is k the variation constant?
If y and x are related inversely, then the equation for y can be said to be:y = k/xTo find the constant k, substitute 12 for y and 6 for x (a pair of values that are known to satisfy the equation).y = k/x12 = k/612 X 6 = k72 = kThe value of the variation constant k is 72.
What is the equivalent fraction of 21 over 84?
It is any fraction of the form (21*k)/(84*k) where k is a non-zero integer, or a common factor of the two.
What is the equation for 11k-13 119?
a sign is missing, but if 11k - 13 = 119 then 11k = 132 and k = 12.
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
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.
