Home
Class 12
MATHS
Find the following sums : (i) 1 + 2 +...

Find the following sums :
`(i) 1 + 2 + 3 + …+ 30`
(ii) ` 1^(2) + 2^(2) + 3^(2) + …+35^(2)`
(ii)`1^(3) + 2^(3) + 3^(3) +…+ 20^(3)` .

Text Solution

Verified by Experts

(i) 465
(ii) 14910
(iii) 44100
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B) One option is correct|50 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find the following sums : (i) 12 + 13 + 14 + …+ 37 (ii) 18^(2) + 19^(2) + 20 ^(2) +…+ 47^(2) (iii) 2^(3) + 4^(3) + 6^(3) +… + 18^(3)

Find the following sums : (i) 5 + 6 + 7 +…+ 100 (ii) 15^(2) + 16^(2) +…+ 30^(2) (iii) 4^(3)+ 8^(3) + 12^(3) +…+ 40^(3)

Find the centre and radius of each of the following circles : (i) (x - 3)^(2) + (y- 1) ^(2) = 9 (ii) (x - (1)/(2) ) ^(2) + ( y + (1)/(3) ) ^(2) = (1)/(16) (iii) (x + 5) ^(2) + ( y- 3 ) ^(2) = 20 (iv) x ^(2) + (y- 1 ) ^(2) = 2

Find the sum of 1 + 2 + 3 + …………… + 50 + 49 + ……… + 3 + 2 + 1

Find the value of: (i) (2 ^(0) + 3 ^(-1)) xx 3 ^(2) (ii) (2 ^(-1)xx 3 ^(-1)) div 2 ^(-3) (iii) ((1)/(2)) ^(-2) + ((1)/(3)) ^(-2) + ((1)/(4)) ^(-2)

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)

Write the following cubes in expanded form: (i) (2x+1)^(3) , (ii) (2a-3b)^(3) (iii) [(3)/(2)x+1]^(3) , (iv) (x-(2)/(3)y]^(3)

(i) (1.2)^3 (ii) (3.5)^3

Find : (a) 1/2 of (i) 24 (ii) 46 (b) 2/3 of (i) 18 (c) 27 (d) 3/4 of (i) 36 (d) 4/5 of (i) 20 (ii) 35

AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
  1. Represent the following as rational numbers : (i) 0.bar15 " " (ii)...

    Text Solution

    |

  2. If a, b, c , d are in G.P. , then shown that (i) (a + b)^(2) , (b ...

    Text Solution

    |

  3. Find the G.M. between the numbers. (i) 6 and 216 " " (ii...

    Text Solution

    |

  4. Find the G.P. between the numbers . 1 and (4)/(25) " " ...

    Text Solution

    |

  5. Insert four number between 6 and 192 so that the resulting sequence is...

    Text Solution

    |

  6. If one G.M., G and two A.M.\'s p and q be inserted between two given q...

    Text Solution

    |

  7. It the A.M., is thrice the G.M. of two positive numbers . Show that nu...

    Text Solution

    |

  8. If the A.M. between two positive numbers exceeds their G.M. by 2 and t...

    Text Solution

    |

  9. If G(1) is the first of n G.M. s between positive numbers a and b ,...

    Text Solution

    |

  10. Find the 15^(th) term of the series 3 - 6 +9 - 12 + …

    Text Solution

    |

  11. Find the r^(th) term of the series (2)/(4) + (4)/(4^(2)) + (6)/(4...

    Text Solution

    |

  12. Find the following sums : (i) 1 + 2 + 3 + …+ 30 (ii) 1^(2) + 2^...

    Text Solution

    |

  13. Find the following sums : (i) 5 + 6 + 7 +…+ 100 (ii) 15^(2) + 16...

    Text Solution

    |

  14. Find the sum of n terms of the series whose nth terms is (i) n(n-1)...

    Text Solution

    |

  15. Find the sum to n term of the series whose n^(th) term is given by ...

    Text Solution

    |

  16. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

    Text Solution

    |

  17. Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n t...

    Text Solution

    |

  18. Find the sum of n terms of series : 3 + 5 + 9 + 15 + 23 + ………… n terms

    Text Solution

    |

  19. Find the n^(th) term of the series 2 + 5 + 10 + 17 + 26 + …

    Text Solution

    |

  20. The sum to infinity of the series 1/2.4+1/4.6+1/6.8+1/8.10+....... is

    Text Solution

    |