12. Let the "Fibonacci-2" numbers g, be defined as follows: 91 = 2, 92 = 2, and gn+2 =( In+1)( In) for all n2 1. (a) Calculate the first five "Fibonacci-2" numbers.

Q: Is it possible to raise a positive number b to a power and obtain a negative number? Is it possible…

A: The given statement is " The possibility to raise a positive number b to a power and obtain a…

Q: Find the first three terms of the expansion (4 – 2x)³.

A:

Q: 6. Perform the following arithmetic operations: a) (31)s – (12)8 = b) (1001)2 x (1011)2 =

A: (a) Change the given octal numbers to decimal numbers. Octal→Decimal number…

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: 1. Simplify the following: (a) (EUF)n (FUG) (b) (EUF)n (ECUF)n (EU F°)

A: We know, Law of set theory as, i) Commutative: A ∪ B = B ∪ A, A ∩ B = B ∩ A. ii)Associative: A ∪ (B…

Q: This will be (n+k-1)= 29+6-1 29 -¹1) = 34 29 = 278, 256.

A:

Q: Match each of the following integers with its equivalent representation in a different base. (123) g…

A: Number system are of the type  Binary decimal with two bits 0 or 1. The decimal number is from 0 to…

Q: If n is prime, then 2" – 1 is prime.

A:

Q: Complete the expanded notation for 48,765. 48,765 = ( |x 10,000) +

A:

Q: for n = 7007 evaluate lower omege (n) and big omege (n)

A:

Q: How many five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: let n be an integer solution to the equation n2+an-b=0 (n>7) if the representation of a in base n is…

A:

Q: 10.2 Find a number a that has the following three properties: (i) a = 73003 (mod 3750). (ii) 1 ≤ a ≤…

A:

Q: Prove the property of the Fibonacci numbers, F(n) = 5(n 4) + 3F(n-5), for n ≥6

A: We have to prove the property of the given Fibonacci numbers F(n) = 5F(n-4) + 3F(n-5) ,  for n≥6

Q: 2.) Find the check digit (d) for the UPC numbers 0-32692-03012 d

A: 2. The given UPC number is 0-32692-03012-d. We use the first 11 digits 0-32692-03012 to determine…

Q: For what value of n is the nth term of the following two A.P the same? (i) 1,7,13,19,... (ii)…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.