UPSC Exam > UPSC Questions > There was a sage whose name was Sissa.he ask ...
Start Learning for Free
There was a sage whose name was Sissa.
he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square.
what is the exactly calculation of the paragraph?
and what is the solution?
he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square.
what is the exactly calculation of the paragraph?
and what is the solution?
Most Upvoted Answer
There was a sage whose name was Sissa.he ask for grade of feet in exch...
Introduction
The story of Sissa and the chessboard illustrates the concept of exponential growth. The sage requests a specific amount of grains for each square on the chessboard, leading to a staggering total.
Grain Calculation for Each Square
- Square 1: 1 grain of sand.
- Square 2: 2 grains (2^1).
- Square 3: 4 grains (2^2).
- Square 4: 8 grains (2^3).
- Square 5: 16 grains (2^4).
- ...
- Square 64: 2^63 grains.
Total Calculation
To find the total grains for all 64 squares, we sum the grains on each square:
- Total Grains = 1 + 2 + 4 + 8 + ... + 2^63.
This forms a geometric series where the first term (a) is 1, the common ratio (r) is 2, and the number of terms (n) is 64.
Formula for Geometric Series
The sum of a geometric series can be calculated using the formula:
- Sum = a * (r^n - 1) / (r - 1).
Applying this:
- Sum = 1 * (2^64 - 1) / (2 - 1) = 2^64 - 1.
Final Outcome
Thus, the total grains of wheat requested by Sissa is:
- Total Grains = 2^64 - 1 = 18,446,744,073,709,551,615 grains.
This number is astronomically large, demonstrating the power of exponential growth. The tale serves as a profound lesson about the nature of infinity and resource allocation.
The story of Sissa and the chessboard illustrates the concept of exponential growth. The sage requests a specific amount of grains for each square on the chessboard, leading to a staggering total.
Grain Calculation for Each Square
- Square 1: 1 grain of sand.
- Square 2: 2 grains (2^1).
- Square 3: 4 grains (2^2).
- Square 4: 8 grains (2^3).
- Square 5: 16 grains (2^4).
- ...
- Square 64: 2^63 grains.
Total Calculation
To find the total grains for all 64 squares, we sum the grains on each square:
- Total Grains = 1 + 2 + 4 + 8 + ... + 2^63.
This forms a geometric series where the first term (a) is 1, the common ratio (r) is 2, and the number of terms (n) is 64.
Formula for Geometric Series
The sum of a geometric series can be calculated using the formula:
- Sum = a * (r^n - 1) / (r - 1).
Applying this:
- Sum = 1 * (2^64 - 1) / (2 - 1) = 2^64 - 1.
Final Outcome
Thus, the total grains of wheat requested by Sissa is:
- Total Grains = 2^64 - 1 = 18,446,744,073,709,551,615 grains.
This number is astronomically large, demonstrating the power of exponential growth. The tale serves as a profound lesson about the nature of infinity and resource allocation.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution?
Question Description
There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution?.
There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution?.
Solutions for There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? defined & explained in the simplest way possible. Besides giving the explanation of
There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution?, a detailed solution for There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? has been provided alongside types of There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? theory, EduRev gives you an
ample number of questions to practice There was a sage whose name was Sissa.he ask for grade of feet in exchange for the squares on the chess board for first square he would like to grains of beach for second he would like to multiply by itself which is full green of wheat for 3rd to must be multiplied by 4 to must be multiplied by itself 4 times and so on until the 64 square. what is the exactly calculation of the paragraph? and what is the solution? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup