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CBSE Class 10 Answered

How to find that 200 is a difference  between any 2 terms in a arithmetic sequence 10,16,22...
Asked by anisaayub9 | 31 Jul, 2019, 07:58: PM
answered-by-expert Expert Answer
Let 200 be the difference between the nth and rth term of an AP such that nth term > rth term
a+(n-1)d - (a+(r-1)d)=nd-d-rd+d=d(n-r)=6(n-r)
6(n-r)=200
n-r=33.3
But, we know that n and r are positive integers as they represent terms of an A.P. and difference of any two positive integers is an integer
Therefore, difference between n and r can't be 33.3
Hence, the difference between any two terms can't be 200.
Answered by Renu Varma | 01 Aug, 2019, 10:20: AM

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