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A carpenter was hired to build 192 windo...

A carpenter was hired to build 192 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days did it take him to finish the job?

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The correct Answer is:
12 days
we have 5+7+9+…=192
`n/2 xx[10 +(n-1)xx2] =192 Rightarrow n(n+4) =192 Rightarrow n^(2)+4n 192=0`
` Rightarrow (n+160 (n-12) =0 Rightarrow n=12`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 11B
  1. find the value of x such that 1+4+7+10+….+x = 715

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  2. Find the value of x such that 25+22+19+16 +….+ x=112

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  3. Find the rth term of an AP, the sum of whose first n terms is (3n^(2) ...

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  4. find the sum of n terms of an AP whose rth term is ( 5r+1)

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  5. if the sum of certain number of terms of the AP 27,24,21,18,…., is -30...

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  6. How many terms of the AP 26,21,16,11,…. Ar needed to give the sum the ...

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  7. How many terms of the AP 18,16,14,12 ,….. Are needed to given the sum ...

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  8. How many terms of the AP 20,19""1/3,18""2/3,…., must be taken to make ...

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  9. The sums of n terms of two arithmetic progressions are in the ratio (7...

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  10. IF the ratio between the sums of n terms of two arithmetic progression...

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  11. Find the sum of all odd integers from 1 to 201.

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  12. Find the sum of all even integers between 101 and 199.

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  13. Find the sum of all integers between 101 and 500, which are divisible...

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  14. Find the sum of all integers between 100 and 600, each of which when ...

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  15. The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is ...

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  16. If the sum of n terms of an A.P. is 3n^2+5n and its mth term is 164, f...

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  17. Find the sum of all natural numbers from 1 and 100 which are divisble ...

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  18. If the sum of n terms of an A.P. in n P" "+1/2n(n-1)Q , where P and...

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  19. If S(m)=m^(2) p and S(n)=n^(2)p, where m ne n in an AP then prove tha...

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  20. A carpenter was hired to build 192 window frames. The first day he mad...

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