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Find the sum of the first 13 terms of the A.P: `-6,\ 0,\ 6,\ 12 ,\ dot`

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Find the number of terms of the A.P. -12 ,\ -9,\ -6,\ dot,\ 12 . If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

The sum of the first five terms of an A.P. and the sum of the first seven terms of the same A.P. is 167. If the sum of first 10 terms of this A.P. is 235, find the sum of its first twenty terms.

The first term of an A.P. is 5 and the common difference is 4. Complete the following activity and find the sum of first 12 terms of the A.P. Here, a=5, d=4,S_(12)=? S_(n)=(n)/(2)[.............] thereforeS_(12)=(12)/(2)[10+..........] =6xx...............=.............

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. In an A.P., if the 5t h and 12 t h terms are 30 and 65 respectiv...

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  2. Find the sum of the first 11 terms of the A.P.: 2,\ 6,\ 10 ,\ 14 ,\...

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  3. Find the sum of the first 13 terms of the A.P: -6,\ 0,\ 6,\ 12 ,\ ...

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  4. Find the sum of the first 51 terms of the A.P.: whose second term i...

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  5. Find the sum of the first 15 multiples of 8

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  6. Find the sum of the first 40 positive integers divisible by (a) 3  ...

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  7. Find the sum of all 3 – digit natural numbers, which are divisible ...

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  8. Find the sum of all 3 – digit natural numbers, which are multiples ...

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  9. Find the sum: 2+4+6+\ +200 (ii) 3+11+19+\ +803 (iii) (-5)+(-8)+(...

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  10. Find the sum: 1+3+5+7+\ ddot\ +\ 199 (ii) 7+10 1/2+14+\ +84 (iii)...

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  11. Find the sum: 25+28+31+\ dot\ +100 (ii) 18+15 1/2+13+\ dot+\ (-49 ...

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  12. Find the sum of the first 15 terms of each of the following sequenc...

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  13. Find the sum of the first 15 terms of each of the following sequenc...

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  14. Find the sum of firsts 20 terms of the sequence whose n t h term is...

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  15. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

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  16. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

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  17. Find the sum of first 51 terms of an AP whose second and third terms ...

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  18. If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289,...

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  19. In an A.P. first term is 5, last term is 45 and sum = 400 . Find the n...

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  20. In an A.P., the sum of first n terms is (3n^2)/2+(13)/2n . Find its...

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