(1)Solution:We know, sum of first n odd natural numbers is n2 .Since, 49 = 72∴ 49 = sum of first 7 odd natural numbers = 1 + 3 + 5 + 7 + 9 + 11 + 13 (2)Solution: Since, 121 = 112∴ 121 = sum of first 11 odd natural numbers = 1 + 3 + 5 + 7 + 9 + 11 +...
If S_(n) denotes the sum of first 'n' natural numbers then s_(1)+S_(2)x+S_(3)x^(2)+...+S_(n) x^(n-1)+...oo=(1-x)^(-n) then n is View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Cl...
i.e., n = 50. Therefore, the sum of odd numbers from 1 to 100 = n2 = 502 = 2500. What is the Sum of First n Odd Natural Numbers? The sum of first n odd natural numbers can be represented as 1 + 3 + 5 + ... + (2n - 1) where 1 is the first odd number and (2n ...
Find the sum of first n odd natural numbers. 01:48 Write the sum of first n odd natural numbers. 01:15 Property 9 The square of a natural number n is equal to the sum of fir... 01:56 Property 6 The sum of first n odd natural numbers is n^2 01:44 The sum of the first n...
解析 S=1+2+3+4++n S=1+2+3+4++nThis is an arithmetic series witha=1, d=1, n=n .S =2[2 a+ ( n-1 )d] S =2[2 * 1+ ( n-1 )* 1]S =2 ( 2+n-1 )(split)S &=n/2(n+1) \&=1/2 n(n+1)(split)反馈 收藏 ...
Learn how to find the sum of the first n natural numbers. See what the sum of all natural numbers is and how to find the sum of cubes of the first...
Prove that any natural number n in N can be written as a sum of one or more, distinct powers of 2 (note 1 is also a power of 2). Show that the sum of the first 2n natural numbers is n(2n+1). Given that the Fibonacci sequence is defined F(0)...
This note presents two demonstrations of the known formula for the sum of squares of the first n natural numbers. One demonstration is based on geometrical considerations and the other one uses elementary integral calculus. Both demonstrations are very easy to understand, even for high school ...
we know the sum of two natural numbers a and b is 54,andthe difference of their greatest common divisor and their least common multiple is 114 then a=?b=? 相关知识点: 试题来源: 解析 已知两个自然数a、b的和为54,它们的最小公倍数与最大公约数的差为144,求a、b 设a、b最小公倍数为...
Write a program in C# Sharp to find the sum of the first n natural numbers using recursion. Visual Presentation:Sample Solution: C# Sharp Code:using System; // Class definition named 'RecExercise3' class RecExercise3 { // Main method, the entry point of the program static void Main(...