Sum of i * countDigits(i)^2 for all i in range [L, R]
Given a range [L, R], the task is to find the sum i * countDigits(i)2 for all i ∈ [L, R] where countDigits(i) is the… Read More »
Tag Archives: arithmetic progression
Series summation if T(n) is given and n is very large
Given a sequence whose nth term is T(n) = n2 – (n – 1)2 The task is to evaluate the sum of first n terms… Read More »
Convert given array to Arithmetic Progression by adding an element
Given an array arr[], the task is to find an element that can be added to the array in order to convert it to Arithmetic… Read More »
Print first N terms of series (0.25, 0.5, 0.75, …) in fraction representation
Given an integer N, the task is to print the first N terms of the series in their fraction form i.e. 1/4, 1/2, 3/4, 1,… Read More »
Find the nth term of the series 0, 8, 64, 216, 512, . . .
Given an integer N, the task is to find the Nth term of the following series: 0, 8, 64, 216, 512, 1000, 1728, . .… Read More »
Arithmetic Mean
Arithmetic mean, also called the average or average value, is the quantity obtained by summing two or more numbers or variables and then dividing by… Read More »
Arithmetic Progression
A sequence of numbers is called an Arithmetic progression if the difference between any two consecutive terms is always the same. In simple terms, it… Read More »
Sum of first N natural numbers which are divisible by X or Y
Given a number N. Given two numbers X and Y, the task is to find the sum of all those numbers from 1 to N… Read More »
Sum of multiples of A and B less than N
Given a number N, the task is to find the sum of all the multiples of A and B below N. Examples: Input:N = 11,… Read More »
Find the sum of all multiples of 2 and 5 below N
Given a number N. The task is to find the sum of all multiples of 2 and 5 below N ( N may be up… Read More »
Find the Nth term of the series 1 + 2 + 6 + 15 + 31 + 56 + …
Given an integer . The task is to write a program to find the N-th term of the given series: 1 + 2 + 6… Read More »
Program to find the angles of a quadrilateral
Given that all the angles of a quadrilateral are in AP having common difference ‘d’, the task is to find all the angles. Examples: Input:… Read More »
Sum of the numbers upto N that are divisible by 2 or 5
Given a number n. The task is to find the sum of numbers up to n, that are divisible 2 or 5. Examples: Input: n… Read More »
Ratio of mth and nth terms of an A. P. with given ratio of sums
Given that the ratio to sum of first m and n terms of an A.P. with first term ‘a’ and commond difference ‘d’ is m^2:n^2.… Read More »
Ratio of mth and nth term in an Arithmetic Progression (AP)
Given two values ‘m’ and ‘n’ and the 5th term of an arithmetic progression is zero. The task is to find the ratio of mth… Read More »
