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A man repays a loan of R s .3250 by payi...

A man repays a loan of `R s .3250` by paying `R s .20` in the first month and then increases the payment by `R s .15` every month. How lon will it take him to clear the loan?

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To solve the problem step by step, we will use the concept of Arithmetic Progression (AP). ### Step 1: Identify the parameters of the AP The first payment made by the man is Rs. 20. Each subsequent month, he increases his payment by Rs. 15. Therefore, we can identify: - First term (a) = Rs. 20 - Common difference (d) = Rs. 15 ### Step 2: Write the formula for the sum of the first n terms of an AP ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. The digits of a positive integer, having three digits, are in A.P. and...

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  2. If x ,y ,z are in A.P. and A1 is the A.M. of x and y and A2 is the A.M...

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  3. A man repays a loan of R s .3250 by paying R s .20 in the first month ...

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  4. If (b+c-a)/a ,(b+c-a)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

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  5. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a...

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  6. If a ,b ,c are in A.P., prove that 1/(b c),1/(c a),1/(a b), is al...

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  7. If a^2,b^2,c^2 are in A.P., then prove that the following are also in...

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  8. Two cars start together in the same direction from the same place. The...

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  9. Find an A.P. in which the sum of any number of terms is always three ...

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  10. If log2,log(2^x-1),log(2^x+3) are in A.P., write the value of xdot

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  11. The sums of first n terms of two A.P. ' s are in hte ratio (7n+2):(n+4...

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  12. Give first 3 terms of the sequence defined by an=n/(n^2+1)dot

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  13. First term of a sequence is 1 and (n+1)th term is obtained by adding (...

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  14. 1,4,7,10,is an A.P. whose first term is 1 and the common difference is...

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  15. 11, 7, 3, -1 is an A.P. whose first term is 11 and the common diffe...

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  16. The nth term of a sequence is 3n-2 is the sequence an A.P.? If so, fin...

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  17. If the nth term an\ of a sequence is given by an=n^2-n+1 write down i...

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  18. A sequence is defined by an=n^3-6n^2+11 n-6. Show that the first three...

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  19. Find the first four terms of the sequence defined by a1=3\ a n d\ an=3...

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  20. Write the first five terms in each of the following sequence: a1=1,\ a...

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