Hint:We can see that the given series in the problem follows an Arithmetic Progression (AP). We find the ${{n}^{th}}$ term of the series by using the first term and common difference of the given series. Once, we find the ${{n}^{th}}$ terms, we...
Find the sum of the first 200 natural numbers.. Ans: Hint – In order to solve this problem we need to consider numbers from 1 to 200 as an AP and then use the formula of sum of an AP whose last term is given and then you will get the right answer to ...
The sum of even numbers can be calculated easily, using Arithmetic Progression as well as using the formula of the sum of all natural numbers. We already know that the even numbers are the numbers, which are divisible by 2, starting from 2 till infinity, such as 2, 4, 6, 8,10, 12,...
1, 2, 3, 4,…., n this is an ap with first term a = 1 and last term l = n. we know that, the sum of n terms of ap when the first and last terms are known is given by: s = (n/2) (a + l) = (n/2)(1 + n) = n(n + 1)/2 therefore, the sum of the ...
The sum of even numbers is the sum of even numbers starting from 2 that goes till infinity. Understand the sum of even numbers formula with derivation, examples, and FAQs.
Arithmetic Progression (AP) is a sequence of numbers in order that the common difference of any two successive numbers is a constant value. Learn with arithmetic sequence formulas and solved examples.
The formula for the first n terms of an arithmetic progression is Formula (First n Numbers in an AP):Sn= n/2 [ 2a + ( n – 1 ) d ] where Sn = sum of the n terms n = total terms a = first term d = common difference ...
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Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively - Given:The second term of an A.P. is 14 and the third term is 18. To do:We have to find the sum of the first 51 terms of the A.P.Solution: Let the first...