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Evaluate the expression f left parenthesis n plus 2 right parenthesis minus f left parenthesis n right paren given that f left paren n right paren equals 1 over 2 n left paren n plus 2 right paren?
A very good try, but f(n) is still ambiguous. I assume you mean f(n) = 1/2*n*(n+2) and not 1/[2*n*(n+2)] Then f(n+2) - f(n) = 1/2*(n+2)*(n+2+2) - 1/2*n*(n+2) = 1/2*(n+2)*(n+4) - 1/2*n*(n+2) = 1/2*(n+2)*{(n + 4) - n} = 1/2*(n+2)*4 = 2*(n+2)
Multiply 4 by n?
F(n) = 4n
What is the formula for a proportion?
1.What is the formula for a proportionp = n / f2. p = (f / 100) * n3. p = f / n4. p = (f / n) * 100
What is an odd number of factors?
Perfect squares have an odd number of factors. If f is a factor of N, then so is N/f. (For example, 3 is a factor of 30, and so is 10). Thus, it seems factors come in pairs, and there should always be an even number of them. But if f = N/f, then these two factors are the same, resulting in an odd number of factors. For example, 3 is a factor of 9, and it's "mate" is also 3. So for the numbers with an odd number of factors, there is some f where f=N/f. Multiplying both sides by f, we have f^2 = N. So this happens when N is a perfect square.
What is the third term of the sequence defined by the recursive rule f(1)2 f(n) f(n-1) plus 1?
To find the third term of the sequence defined by the recursive rule ( f(1) = 2 ) and ( f(n) = f(n-1) + 1 ), we first calculate ( f(2) ) using the recursive formula. Since ( f(1) = 2 ), we have ( f(2) = f(1) + 1 = 2 + 1 = 3 ). Next, we calculate ( f(3) ) as ( f(3) = f(2) + 1 = 3 + 1 = 4 ). Thus, the third term of the sequence is ( f(3) = 4 ).
What is the recursive formula for the function f(n) where f(n) is defined as f(n) (f(n/2))?
The recursive formula for the function f(n) is f(n) f(n/2).
If f(n) o(g(n)), does it imply that g(n) o(f(n))?
No, if f(n) o(g(n)), it does not necessarily imply that g(n) o(f(n)).
If f(n) o(g(n)), then how can the relationship between the growth rates of the functions f(n) and g(n) be described?
If f(n) o(g(n)), it means that the growth rate of f(n) is smaller than the growth rate of g(n).
Why is the sum of the reciprocals of all of the divisors of a perfect number equal to 2?
Suppose N is a perfect number. Then N cannot be a square number and so N has an even number of factors.Suppose the factors are f(1) =1, f(2), f(3), ... , f(k-1), f(k)=N.Furthermore f(r) * f(k+1-r) = N for r = 1, 2, ... k so that f(r) = N/f(k+1-r)which implies that 1/f(r) = f(k+1-r)/NThen 1/f(1) + 1/(f(2) + ... + 1/f(k)= f(k)/N + f(k-1)/N + ... + f(1)/N= [f(k) + f(k-1) + ... + f(1)] / N= 2N/N since, by definition, [f(k) + f(k-1) + ... + f(1)] = 2N
What is the difference between a fraction and a multiple?
Given an integer n, an integer f is a fraction of n if f goes into n evenly. That is, n/f is an integer or n = f*x for some integer x.m is a multiple of n if m = n*c for some integer c.
Factorial number's summation's program upto n numbers in c language?
#include#includeint a,f,n,sum=0; printf("Enter any number"); scanf("%d",&n); f=1; for(a=1;a<=n;a ); { f=f*a; } for(f=1;f<=n;f ); { sum=sum f; } printf("sumation of factorial numbers :",sum); getch(); }
What is the height of F n F Tower?
The height of F n F Tower at Panama City in Panama is 243 m.
When was N. F. Simpson born?
N. F. Simpson was born in 1919.
When was N. F. Varghese born?
N. F. Varghese was born in 1949.
Evaluate the expression f left parenthesis n plus 2 right parenthesis minus f left parenthesis n right paren given that f left paren n right paren equals 1 over 2 n left paren n plus 2 right paren?
A very good try, but f(n) is still ambiguous. I assume you mean f(n) = 1/2*n*(n+2) and not 1/[2*n*(n+2)] Then f(n+2) - f(n) = 1/2*(n+2)*(n+2+2) - 1/2*n*(n+2) = 1/2*(n+2)*(n+4) - 1/2*n*(n+2) = 1/2*(n+2)*{(n + 4) - n} = 1/2*(n+2)*4 = 2*(n+2)
The set f of integers greater than or equal to 12?
f = {n : n Î Z, n ≥ 12}
What are the violin notes for jingle bell rock?
this is not correct F F F F F F F G A G F F F G F A N D A A J B E D J I N G
