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 ...
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 ...
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.
you can easily solve such problems using "AP-arithmetic progression" formula, if you are not able to solve using the above mentioned method. Tn=a+(n-1)d Tn=last term a= first term n=number of terms d= difference between terms
The formula for finding the sum of the first n terms depends on the type of sequence. For arithmetic sequences, the formula is Sn = (n/2)(a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. For geometric sequences, the formula is Sn =...
According to the problem, we have a series given as 1, 3, 5, 7, 9,……. We need to find the sum of the elements in this series up to n terms.We know that an Arithmetic Progression (AP) is of form a, a+d, a+2d,…….., where ‘a’ is kno...
(1)By Arithmetic Progression(AP), we know, for any sequence, the sum of n terms of an AP is given by: Sn= (1/2)× n[2a+(n-1)d] ……..(2)Where, n = number of terms in the seriesa = First term of an arithmetic progression...
The first term of an AP is 3, the last term is 83 and the sum of all its terms is 903. Find the numbers of terms and the common difference of the AP. 相关知识点: 试题来源: 解析 Now, a = 3l = 83S_n = 903We know,S_n=n/2[a+l]⇒ n/2[a+l]=903⇒ n/2[3+83...
But wait. The second term of the first sum is the same as the first term of the second sum. Indeed, this pattern continues: the third term of the first sum is the same as the second term of the second sum, and so on. Rearrange the terms to align these identical terms together. $...
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