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If the sum of n terms of an A.P. in n...

If the sum of n terms of an A.P. in `n P" "+1/2n(n-1)Q ,` where P and Q are constants, find the common difference.

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`S_(n)=nP+1/2n(n-1) Qrightarrow S_(n-1) = (n-1) P+1/2(n-1) (n-2) Q`
` T_(n) = ( S_(n)-S_(n-1)) = P ( n-1) Q Rightarrow T_(n-1) =P +(n-2)Q`
` d= (T_(n) -T_(n-1)=Q`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 11B
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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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