sum of special series formula What are the Special Series The series special in some way or the other is called a special series The following are the three types of special series 1 2 3 n sum of first n natural numbers 1 2 2 2 3 2 n 2 sum of
This article will walk you through three commonly used special series and how to derive formulas to calculate the sum of these series up to n terms We ll also provide solved Sum of Some Special Series Formula Special series formulas Sum of first n natural numbers is n n 1 2 and sum of squares is n n 1 2n 1 6
sum of special series formula
sum of special series formula
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Subtract The Sum Of 2 3 And 3 2 From The Sum Of 5 6 And 4 3 Brainly in
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Sum Of Special Series 0 6 0 66 0 666 0 6666 And So On IBDP AA HL
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Sum to n terms of Special Series Let s try to find the formula to find the sum of the above special series i S n 1 2 3 4 n Here we have to find the sum of the first n natural numbers This is an arithmetic progression as we can To find the sum of the first nnn terms of an arithmetic series you can use the formula S n n 2 2a n 1 d How do you calculate the sum of a geometric series A
Series Formulas 1 Arithmetic and Geometric Series Definitions First term a 1 Nth term a n Number of terms in the series n Sum of the first n terms S n Difference between successive SUM TO n TERMS OF SPECIAL SERIES Sum of First n Natural Numbers 1 2 3 n n n 1 2 Example 1 Find the sum 1 2 3 60 Solution Sum of first n
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Sum Of Special Series By Rajan Sir YouTube
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22 SEQUENCE AND SERIES SUM OF SPECIAL SERIES 1 CH 9 CLASS 11TH
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Let s look at some of the examples of the special series 1 2 3 n 12 22 32 n2 13 23 33 n3 The first equation is the sum of the n natural numbers whereas the Step 1 Find the sum from 1 upto the last term we have in the given series Step 2 Find the sum from 1 upto the preceding term of the first term what we have in the given series Step 3 By
Sum to n Terms of Special Series i Sum of the First n Natural Numbers The formula used to calculate the first n natural numbers S n frac n n 1 2 Find the sum to n terms of the series 3 8 6 11 9 14 Let S n denote the sum of the cubes of the first n natural numbers and s n denote the sum of the first n natural numbers
15 SEQUENCE AND SERIES SUM OF SPECIAL SERIES questions CH 9
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SEQUENCE AND SERIES LEC 13 PART B SUM OF SPECIAL SERIES TYPE 1 2
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sum of special series formula - SUM TO n TERMS OF SPECIAL SERIES Sum of First n Natural Numbers 1 2 3 n n n 1 2 Example 1 Find the sum 1 2 3 60 Solution Sum of first n