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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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To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the Problem The carpenter needs to build a total of 192 window frames. On the first day, he makes 5 frames, and each subsequent day he makes 2 more frames than the previous day. ### Step 2: Identify the Sequence The number of frames made each day forms an arithmetic progression (AP): - Day 1: 5 frames ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. If n arithemetic means are inserted between 20 and 80 such tht the r...

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  2. Along a road lie an odd number of stones placed at intervals of 10 met...

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

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  4. In a potato race 20 potatoes are placed in a line at intervals of 4m e...

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  5. We know that the sum of the interior angles of a triangle is180^0 . S...

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  6. If S1 be the sum of (2n+1) term of an A.P. and S2 be the sum of its od...

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  7. Divide 32 into four parts which are in A.P. such that the product of ...

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  8. If theta1,theta2,theta3, ,thetan are in AP, whose common difference ...

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  9. If (m+1) term of an A.P. is twice the(n+1) th term, prove that (3m+1) ...

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  10. If a1,a2,a3, ,an are in A.P. with common difference d(w h e r ed!=0), ...

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  11. If an A.P. is such that (a4)/(a7)=2/7, find (a6)/(a8) .

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  12. The 4th term of an A.P. is three times the first and the 7th term e...

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  13. Find the number of terms common to the two AP's 3,7,11,15.... 407 and...

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  14. Show that in an A.P. the sum of the terms equidistant from the begi...

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  15. If a1,a2,a3, b, ... ,an are an A.P. of non-zero terms, prove that 1/...

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  16. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  17. The p^(t h) term of an A.P. is a and q^(t h) term is b Prove that t...

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  18. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

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  19. Let Sn be the sum of first n terms of an A.P. with non-zero common d...

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  20. If there are (2n+1) terms in A.P., then prove that the ratio of the su...

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