Home
Class 10
MATHS
If Sn denotes the sum of first n terms ...

If `S_n` denotes the sum of first n terms of an AP, prove that `S_(12) = 3 (S_(8) -S_4)`

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.1|28 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise EXERCISE 5.2|30 Videos
  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise OTHER IMPORTANT EXAMPLES|13 Videos
  • AREAS RELATED TO CIRCLES

    KUMAR PRAKASHAN|Exercise Objective Questions|25 Videos
  • CIRCLE

    KUMAR PRAKASHAN|Exercise Objective Questions (True & False)|4 Videos

Similar Questions

Explore conceptually related problems

If S_(1), S_(2) and S_(3) be respectively the sum of n, 2n and 3n terms of a G.P. Prove that S_(1) (S_(3)-S_(2))= (S_(2)-S_(1))^(2) .

S_(n) is the sum of n terms of an A.P. If S_(2n)= 3S_(n) then prove that (S_(3n))/(S_(n))= 6

If in an AP, S_(n)= q n^(2) and S_(m)= qm^(2) , where S_(r ) denotes the sum of r terms of the AP, then S_(q) equals to,

S_(n) denots the sum of first n terms of an A.P. Its first term is a and common difference is d. If d= S_(n)-k S_(n-1) + S_(n-2) then k= ……….

Find the sum of the first 22 term of the AP : 8, 3, -2 ......

Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P^(2)R^(n) = S^n .

4 + 8 + 12+ …….Find sum of first 15 terms.

Find the rth term of an AP sum of whose first n terms is 2n+ 3n^(2)

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-TEST YOUR SKILLS
  1. Find the number of odd integers between 2 and 100 which are divisible ...

    Text Solution

    |

  2. The sum of 5th and 7th terms of an AP is 52 and the 10th term is 46 . ...

    Text Solution

    |

  3. Find the 20th term of the AP whose 3rd term is 7 and the 7 term exceed...

    Text Solution

    |

  4. The first and the last term of an AP are 7 and 49 respectively. If th...

    Text Solution

    |

  5. Find : Sum of those integers between 1 and 500 which are multiples...

    Text Solution

    |

  6. Find : Sum of those integers from 1 to 500 which are multiples of ...

    Text Solution

    |

  7. Find : Sum of those integers from 1 to 500 which are multiples of ...

    Text Solution

    |

  8. The sum of first seven terms of an AP is 182. If its 4th and the 17th ...

    Text Solution

    |

  9. If the sum of first n terms of an AP is 1/2 (3n^(2) + 7n) , then find ...

    Text Solution

    |

  10. If Sn denotes the sum of first n terms of an AP, prove that S(12) = 3...

    Text Solution

    |

  11. The ratio of the sum of first n terms of two APs is (7n + 1): (4n + 27...

    Text Solution

    |

  12. A man repays a loan of Rs 3250 by paying Rs 20 in the first month and ...

    Text Solution

    |

  13. If the 12th term of an AP is -13 and the sum of its first four terms i...

    Text Solution

    |

  14. Kartikay repays his total loan of Rs 1,18,000 by repaying every month....

    Text Solution

    |

  15. The 9th term of an AP is equal to 6 times the second term. If its 5th ...

    Text Solution

    |

  16. The sum of the first 7 terms of an AP is 63 and the sum of its next 7 ...

    Text Solution

    |

  17. Which term of the AP 75, 72, 69, ... is its first negative term ? If i...

    Text Solution

    |

  18. Three numbers in AP have the sum 18 and the sum of their squares is 18...

    Text Solution

    |

  19. Find four consecutive terms in AP whose sum is 20 and the sum of whose...

    Text Solution

    |

  20. Ramkali required Rs 2500 after 12 weeks to send her daughter to school...

    Text Solution

    |