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Solve Q no. 1, 2, 3, 4, 5, 6.

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Asked by hariom2083 1st August 2018, 2:29 PM
Answered by Expert
Answer:
Given AP’s are 2 + 5 + 8 .......... upto 50 terms and the series 3 + 5 +7 + 9 ................ upto 100 terms
Let the pth term of the 1st AP is equal to qth term of 2nd AP
begin mathsize 16px style 2 plus 3 open parentheses straight p minus 1 close parentheses equals 3 plus 2 left parenthesis straight q minus 1 right parenthesis
Simplifying space we space get
3 straight p minus 2 straight q equals 2
3 straight p equals 2 straight q plus 2
3 straight p equals 2 left parenthesis straight q plus 1 right parenthesis
straight p over 3 equals fraction numerator straight q plus 1 over denominator 3 end fraction equals straight k end style
p = 2k and q = 3k - 1

⇒ 2k ≤ 100 and (3k – 1) ≤ 100
⇒ k ≤ 50 and k  ≤ 101/3
But k cannot be a fraction
⇒ k ≤ 25 and k  ≤ 33
Answered by Expert 6th August 2018, 3:50 PM
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