Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respectively, show that S3 = 3 (S2– S1)

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Let the Sum of N, 2n, 3n Terms of an Arithmetic Progression. Be S1, S2 and S3, Respectively, Show that S3 = 3 (S2– S1) - Mathematics

Let the sum of n, 2n, 3n terms of an A.P. be S₁, S₂ and S₃,respectively, show that S₃ = 3 (S₂– S₁)

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Solution

Let a and b be the first term and the common difference of the A.P. respectively.

Therefore,

Concept: Arithmetic Progression (A.P.)

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Chapter 9: Sequences and Series [Page 199]

Q 3 Q 2 Q 4

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NCERT Class 11 Mathematics Textbook

Chapter 9 Sequences and Series
Q 3 | Page 199

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Let the Sum of N, 2n, 3n Terms of an Arithmetic Progression. Be S1, S2 and S3, Respectively, Show that S3 = 3 (S2– S1) - Mathematics

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