Applications of Indian Mathematics in Economic Modeling
This quiz will test your understanding of the applications of Indian mathematics in economic modeling.
Questions
Question 1 Multiple Choice (Single Answer)
What is the Fibonacci sequence?
- A sequence of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1.
- A sequence of numbers in which each number is the product of the two preceding ones, starting from 1 and 1.
- A sequence of numbers in which each number is the difference of the two preceding ones, starting from 0 and 1.
- A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 1 and 1.
Question 2 Multiple Choice (Single Answer)
What is the Golden Ratio?
- The ratio of two numbers that is equal to the ratio of their sum to the larger number.
- The ratio of two numbers that is equal to the ratio of their difference to the smaller number.
- The ratio of two numbers that is equal to the ratio of their product to the larger number.
- The ratio of two numbers that is equal to the ratio of their quotient to the smaller number.
Question 3 Multiple Choice (Single Answer)
What is the Lucas sequence?
- A sequence of numbers in which each number is the sum of the two preceding ones, starting from 2 and 1.
- A sequence of numbers in which each number is the product of the two preceding ones, starting from 2 and 1.
- A sequence of numbers in which each number is the difference of the two preceding ones, starting from 2 and 1.
- A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 2 and 1.
Question 4 Multiple Choice (Single Answer)
What is the Pell sequence?
- A sequence of numbers in which each number is the sum of the two preceding ones, starting from 1 and 2.
- A sequence of numbers in which each number is the product of the two preceding ones, starting from 1 and 2.
- A sequence of numbers in which each number is the difference of the two preceding ones, starting from 1 and 2.
- A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 1 and 2.
Question 5 Multiple Choice (Single Answer)
What is the Catalan sequence?
- A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.
- A sequence of numbers that gives the number of ways to tile a rectangle with n squares.
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
- A sequence of numbers that gives the number of ways to partition a set of n objects into two subsets.
Question 6 Multiple Choice (Single Answer)
What is the Stirling sequence?
- A sequence of numbers that gives the number of permutations of n objects.
- A sequence of numbers that gives the number of combinations of n objects taken r at a time.
- A sequence of numbers that gives the number of ways to partition a set of n objects into k subsets.
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
Question 7 Multiple Choice (Single Answer)
What is the Bell sequence?
- A sequence of numbers that gives the number of partitions of a set of n objects.
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
- A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.
- A sequence of numbers that gives the number of ways to tile a rectangle with n squares.
Question 8 Multiple Choice (Single Answer)
What is the Motzkin sequence?
- A sequence of numbers that gives the number of ways to triangulate a convex n-gon.
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
- A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.
- A sequence of numbers that gives the number of ways to tile a rectangle with n squares.
Question 9 Multiple Choice (Single Answer)
What is the Narayana sequence?
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
- A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.
- A sequence of numbers that gives the number of ways to tile a rectangle with n squares.
- A sequence of numbers that gives the number of ways to partition a set of n objects into two subsets.
Question 10 Multiple Choice (Single Answer)
What is the Catalan-Motzkin sequence?
- A sequence of numbers that gives the number of ways to triangulate a convex n-gon.
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
- A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.
- A sequence of numbers that gives the number of ways to tile a rectangle with n squares.
Question 11 Multiple Choice (Single Answer)
What is the Schröder-Hipparcus sequence?
- A sequence of numbers that gives the number of ways to arrange n objects in a circle.
- A sequence of numbers that gives the number of ways to parenthesize an expression with n pairs of parentheses.
- A sequence of numbers that gives the number of ways to tile a rectangle with n squares.
- A sequence of numbers that gives the number of ways to partition a set of n objects into two subsets.
Question 12 Multiple Choice (Single Answer)
What is the Perrin sequence?
- A sequence of numbers in which each number is the sum of the two preceding ones, starting from 3 and 0.
- A sequence of numbers in which each number is the product of the two preceding ones, starting from 3 and 0.
- A sequence of numbers in which each number is the difference of the two preceding ones, starting from 3 and 0.
- A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 3 and 0.
Question 13 Multiple Choice (Single Answer)
What is the Van der Laan sequence?
- A sequence of numbers in which each number is the sum of the two preceding ones, starting from 1 and 1.
- A sequence of numbers in which each number is the product of the two preceding ones, starting from 1 and 1.
- A sequence of numbers in which each number is the difference of the two preceding ones, starting from 1 and 1.
- A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 1 and 1.
Question 14 Multiple Choice (Single Answer)
What is the Jacobsthal sequence?
- A sequence of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1.
- A sequence of numbers in which each number is the product of the two preceding ones, starting from 0 and 1.
- A sequence of numbers in which each number is the difference of the two preceding ones, starting from 0 and 1.
- A sequence of numbers in which each number is the quotient of the two preceding ones, starting from 0 and 1.
Question 15 Multiple Choice (Single Answer)
What is the Tribonacci sequence?
- A sequence of numbers in which each number is the sum of the three preceding ones, starting from 0, 0, and 1.
- A sequence of numbers in which each number is the product of the three preceding ones, starting from 0, 0, and 1.
- A sequence of numbers in which each number is the difference of the three preceding ones, starting from 0, 0, and 1.
- A sequence of numbers in which each number is the quotient of the three preceding ones, starting from 0, 0, and 1.