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Hey guys....
There is no correct simple general formula for sum to n terms of the series
1+1/2+1/3+1/4+ ............. + 1/n
The following expression is relatively a very good approximation.
S = ln(n + 0.5) + 0.5772 + 0.03759/(n*n + 1.171)
Deviation from the actual value fluctuates but remains relatively low.
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What is the sum of the first forty positive integers?
The sum of the first forty positive integers can be calculated using the formula for the sum of an arithmetic series, which is (n/2)(first term + last term) where n is the number of terms. In this case, the sum is (40/2)(1 + 40) = 820.
What is Ashanti number?
An Ashanti number is a concept in mathematics related to the Fibonacci sequence, where each term is the sum of the two preceding ones. Ashanti numbers are formed by starting with two initial values and then generating subsequent terms based on their sum. This concept can be extended beyond Fibonacci numbers to include other sequences derived in a similar manner.
C program to find sum of all elements of a matrix?
To find the sum of all elements in a matrix in C, you can use nested loops to iterate through each element and accumulate the sum. Here is a basic example: #include <stdio.h> #define ROWS 3 #define COLS 3 int main() { int matrix[ROWS][COLS] = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; int sum = 0; for(int i = 0; i < ROWS; i++) { for(int j = 0; j < COLS; j++) { sum += matrix[i][j]; } } printf("Sum of all elements in the matrix: %d\n", sum); return 0; }
Write a C program to accept the elements of a 3 x 3 matrix and find its sum of the major diagonal elements The program should print the given matrix along with its sum of the major diagonal elements?
#include <stdio.h> #include <conio.h> void main() { int d[3][3] = { 1, 2, 6, 3, 8, 5, 5, 6, 7 }; int k = 0, j = 0; int sum1 = 0, sum2 = 0; for (j = 0; j < 3; j++) { for (k = 0; k < 3; k++) printf(" %3d", d[j][k]); printf("\n"); } for (j = 0; j < 3; j++) { sum1 = sum1 + d[j][j]; } k = 3 - 1; for (j = 0; j < 3; j++) { if (k >= 0) { sum2 = sum2 + d[j][k]; k--; } } printf("Sum of First diagonal= %d\n", sum1); printf("Sum of Second diagonal= %d", sum2); getch();
Find the sum of the digits of 33333333334 to the second power?
first you multiply 33333333334 by 33333333334 (if its kinda hard to count these, they both have ten 3's, and one 4) and then you should get this: 1111111111155555555556 (for this one, there are eleven 1's, ten 5's, and one 6) then you add all these digits together, and should get this: 67 ***p.s. the reason why it's not 1156 is because, in the order of operations, you have to solve the exponents (to the second power) before you can start adding***
The 7th term of an arithmetic progression is 6 The sum of the first 10 terms is 30 Find the 5th term of the progression?
2
Formula to find out the sum of n terms?
It is not possible to answer this question without information on whether the terms are of an arithmetic or geometric (or other) progression, and what the starting term is.
What is an arithmetic series?
An arithmetic series is the sum of the terms in an arithmetic progression.
Who gave the formula for finding sum of the first 'n' terms in Arithmetic Progression?
RAMANUJANRAMANUJAN
What is the sum of the first 15 terms of an arithmetic?
For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.
What is the Sn formula?
The formula for the sum of the first n terms of an arithmetic progression is Sn = n/2 * (a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.
What is the sum of fifteen terms of arithmetic progresion whose eighth term is 4?
This question is impossible to answer without knowing the difference between successive terms of the progression.
What is 1 plus 1 half plus 1 third plus 1 quarter plus 1 fifth and so on?
This series is known as the Harmonic Series and it diverges but very, very slowly. For example, the first 100 terms sum to 5.187...., the first 1000 terms to 7.486...., and the first 1000000 terms to 14.392.... There are many proofs of the divergence of this series and an internet search of Harmonic Series will no doubt find many of them.
A geometric progression has a common ratio -1/2 and the sum of its first 3 terms is 18. Find the sum to infinity?
The sum to infinity of a geometric series is given by the formula Sā=a1/(1-r), where a1 is the first term in the series and r is found by dividing any term by the term immediately before it.
The 'nth term of an Arithmetic Progression is 3n-2.Find the sum of first n terms.What is the sum of first 10 terms?
The sum of the 1st n terms is : N(3N-1)/2 Explanation : The sum from 1 to N of (3m-2) = 3 * sumFrom1toN(m) - sumFrom1toN(2) = 3 * (N*(N+1)/2) -2*N = N(3N-1)/2 For N=10 => 145
Can you find the sum of the terms in an infinite sequence?
yup
The sum of the first 20 terms of an a.p is 45 and the sum of the first 40 terms is 290. Find the first term?
-69
