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If Sn denotes the sum of first n term...

If `S_n` denotes the sum of first `n` terms of an A.P., prove that `S_(12)=3(S_8-S_4)` .

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
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  2. The first and the last terms of an AP are 7 and 49 respectively. If...

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  3. If Sn denotes the sum of first n terms of an A.P., prove that S(...

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  5. The sum of first 9 terms of an A.P. is 162. The ratio of its 6th t...

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  6. Define an arithmetic progression.

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  7. Write the common difference of an A.P. whose n t h term is an=3n+7 ...

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  8. Which term of the sequence 114 ,\ 109 ,\ 104 ,\ is the first ne...

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  9. Write the value of a(30)-a(10) for the A.P. 4,\ 9,\ 14 ,\ 19 ,\ ...

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  10. Write 5t h term from the end of the A.P. 3,\ 5,\ 7,\ 9,\ ddot,\ 201...

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  11. Write the value of x for which 2x ,\ x+10 and 3x+2 are in A.P.

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  12. Write the n t h term of an A.P. the sum of whose n terms is Sn .

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  13. Write the sum of first n odd natural numbers.

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  14. Write the sum of first n even natural numbers.

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  15. If the sum of n terms of an A.P. is Sn=3n^2+5n . Write its co...

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  16. Write the expression for the common difference of an A.P. whose fir...

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  17. First the term of an A.P is p and its common difference is q. Find its...

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  18. For what value of p are 2p+1,\ 13 ,\ 5p-3 are three consecutive ...

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  19. If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find t...

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  20. If the sum of first p terms of an AP is ap^2+bp find the common differ...

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