Home
Class 10
MATHS
Find the sums given below : 7 + 10(1)/...

Find the sums given below :
`7 + 10(1)/(2) + 14 +….+84`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `S_(23) = (23)/(2) [ 7 + 84] = (23)/(2) xx 91 = (2093)/(2)`.
(ii) `S_(13) = (13)/(2) [ 34 + 10] = (13)/(2) xx 44 = 13 xx 22 = 286`.
(iii) `S_(76) = -8930`.
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.4)|5 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (MULTIPLE-CHOICE QUESTIONS [MCQS] )|17 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.2)|20 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HIGHER ORDER THINKING SKILLS)|7 Videos

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos

Similar Questions

Explore conceptually related problems

Find the sums given below : (i) 7+10(1)/(2)+14+……..+84 (ii) 34+32+30+…..+10 (iii) -5+(-8)+(-11)+………+(-230)

Find the sums given below : 34+32+30 +… + 10

Find the sums given below : -5 + (-8) + (-11) +…+(-230) .

Find the sum : (a) (-7)+ (-9) + 4 + 16

Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. (ii) -37, -33, -29, …….., to 12 terms. (iii) 0.6, 1.7, 2.8,….., to 100 terms (iv) (1)/(15), (1)/(12),(1)/(10) ,……,to 11 terms

Find the sum of first: a] 13 term of AP 2, 6, 10, 14, ..... b] 20 terms of AP -6, 0, 6, 12, ...... c] 15 term of AP 18, 16, 14, .........

The quartile deviation of daily wages (in Rs.) of 7 persons is given below : 12, 7, 15, 10, 17,19, 25 is :

Find the sum to n terms of the series . 3 xx 1^(2) + 5 xx 2^(2) + 7 xx 3^(2) + . . . . . .

ZEN PUBLICATION-ARITHMETIC PROGRESSIONS-TEXTUAL EXERCISE (Exercise 1.3)
  1. Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. ...

    Text Solution

    |

  2. Find the sums given below : 7 + 10(1)/(2) + 14 +….+84.

    Text Solution

    |

  3. In an A.P: (i) Given a= 5, d=3, a(n) = 50, find n and S(n). (ii) G...

    Text Solution

    |

  4. How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...

    Text Solution

    |

  5. The first of an A.P is 5, the last term is 45 and the sum is 400. Find...

    Text Solution

    |

  6. The first and the last terms of an A.P are 17 and 350 respectively. If...

    Text Solution

    |

  7. Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...

    Text Solution

    |

  8. Find the sum of first terms of an A.P whose second and third terms are...

    Text Solution

    |

  9. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...

    Text Solution

    |

  10. Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...

    Text Solution

    |

  11. If the sum of the first n terms of an A.P. is 4n-n^(2) what is the fir...

    Text Solution

    |

  12. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

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

    Text Solution

    |

  14. Find the sum of the odd numbers between 0 and 50.

    Text Solution

    |

  15. A contract on construction job specific a penalty for delay of complet...

    Text Solution

    |

  16. A sum of Rs. 700 to be used to give seven cash prizes to students of a...

    Text Solution

    |

  17. In a school, students thought of planting trees in an around the schoo...

    Text Solution

    |

  18. A spiral is made up of successive semicircles, with centres alternatel...

    Text Solution

    |

  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

    Text Solution

    |

  20. In a potato race, a bucket is placed at the starting point, which is 5...

    Text Solution

    |