What is the recursive formula
|
n 1 |
f(n) 1 |
|
2 |
9 |
|
3 |
25 |
|
4 |
49 |
|
5 |
81 |
|
6 |
121 |
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Give a recursive formula s(n) for the sequence of squares [1,4,9, 16, 25,...] of the form s(n 1) as(n) + bs(n - 1) +cs(n-2), where a,b and c are real numbers. You do not need to prove that your formula is correct.
The recursive definition of a Fibonacci Number is F(n) = F(n - 1) + F(n - 2), where F(0) = 1 and F(1) = 1. What is the value of Fib(3)?
Please write in java
Write a main program that runs the following two recursive methods demonstrating that they work. #1) Write a recursive method writeSquares that accepts an integer n and prints the first n squares with the odd squares in decending order, followed by the even squares in acending order. For example • writeSquares(8): prints . 49 25 9 1 4 16 36 64 • writeSquares(11); prints 121 81 49 25 9 1 2 16 36 64 100 •...
#1 Toss Results 1 25 5 - 49 N 3 ZG 3 So 3 3 Z 22 6 S1 2 4 3 28 6 5 2 52 5 29 6 6 6 5 30 54 2 7 2 31 5 SS 4 8 4 32 56 5 9 1 33 الما 57 lo 34 58 11 4 t 35 59 G N 12 36 2 60 6 13 5 37 3 19 4 38 Outcome fozquency 15 39 - 16...
Liestion 3 (4 points) +49 +49 8 5+29 N 3 Three charged particles are placed at the corners of an equilateral triangle as shown in figure. Which of the directions shows the direction of the net electric force on charge +2q? 1 2 3 MacBook Pro с G Search or type URL # $ 4 & 7 3 5 6 8 9 0 E 20 T Y U 0 Р
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Find N(A) 1 -3 4 -1 9 A = -2 6 -6 -1 -10 -3 9 -6 -6 -3 mo 3 -94 9 a. 1 -2 6 -3 N(A) = -6 -1 -10 Ob. 10 0 N(A) 3 2 0 3 -5 0 N(A) = 0 0 0 2 O d. 2 ܩ ܘ ܚ N(A) 1 0 0 0 2 e. 2. 3 3 -3 6 9 -9 N(A) = -6 -6...
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn<2 else f(n-1) + f(n-2) end If m=0 else B. function g(m,n) g(m-1,m'n) C. function h(n) if n 100 else 3 h(n+5) end D. function j(m.n) IT m=n 100 j(m-n,n) 10 j(n,n-m) elseif mn else
2. Which of the following recursive functions, written in a fictitious language, are tail recursive? Select all that are A. function f(n) ifn
Write a recursive method to calculate F(N-1) = N + F(N+1); N is an interger, N < 10 and F(9)=1;
Prove by mathematical induction. 3 +4 +5 + ... + + (n + 2) = n(n+ 5). Verify the formula for n = 1. 1 1 +5) 3 = 3 The formula is true for n = 1. Assume that the formula is true for n=k. 3 + 4 +5+ ... + (x + 2) = x(x + 5) Show that the formula is true for n = k +1. 3+ 4+ 5+... *«* +2)+(( 4+1 |_ )+2) - +...
How to prove G(n)=n+1 in this algorithm?
1. if (n 0) 2. return 1 3. else if (n1) f 4. return 2 5. else if (n 2) 6. return 3 7. else if (n3) t 8. return 4 else f 9. int OGnew int[n 11 10. G[O]1 12. G[2]3 13. G[3]4 14. int i:-4 15. while (i<n) t 16. if (i mod 20) else ( 20. return G[n]
1. if (n 0) 2. return 1 3. else if (n1) f...