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Algebra

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Joined:	10 Oct 2011
Post:	102

12 Feb 2012 07:36:58 IST

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211

good question in sequence and series

Mathematics

Suppose that s1, s2, s3, . . . is a strictly increasing sequence of positive integerssuch that the subsequencesSs1 , Ss2 , Ss3 , . . . and Ss1+1, Ss2+1, Ss3+1, . . .are both arithmetic progressions. Prove that the sequence s1, s2, s3, . . . is itself anarithmetic progression.

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boywholived

Scorching goIITian

Joined: 10 Feb 2012

Posts: 261

13 Feb 2012 14:37:17 IST

Like 1 people liked this

didn't understand the question do you mean by s1 it is the sum of ss1 or something else. Can you please elaborate the question

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