Home
Class 11
MATHS
Find the sum of the products of the ten ...

Find the sum of the products of the ten numbers `+-1,+-2,+-3,+-4,a n d+-5` taking two at a time.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the products of the integers 1,2,3,....n taken two at a time and show that it equal to half the excess of the sum of the cubes of the given integers over the sum of their squares.

Find the sum and product of the two complex numbers z_1=2+3i and z=-1+5i .

Find the maximum value of the product of the two numbers , if their sum is 12.

Find the sum of all possible products of first n natural numbers taken two by two.

If the product of n positive numbers is n^n . Then their sum is

Find a cubic polynomial with the sum of the product of zeroes taken two at a time, and the product of its zeroes as 2,-7,-14 respectively.

Find the sum to n terms of the series : 1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ...

Find the sum of n terms of the series 1/2.5+1/5.8+1/8.11 …to n terms.

Find the sum of the numbers from 1 to 100 which are not divisible by 3 and 5.

Consider the ten numbers a r ,a r^2, a r^3, ..... ,a r^(10)dot If their sum is 18 and the sum of their reciprocals is 6, then the product of these ten numbers is a. 81 b. 243 c. 343 d. 324

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. A sequence of numbers An, n=1,2,3 is defined as follows : A1=1/2 and f...

    Text Solution

    |

  2. The sum of three numbers in GP. is 56. If we subtract 1, 7, 21 from ...

    Text Solution

    |

  3. Find the sum of the products of the ten numbers +-1,+-2,+-3,+-4,a n d+...

    Text Solution

    |

  4. If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,""1/d ,""1/e are ...

    Text Solution

    |

  5. Find the sum sum(r=0) .^(n+r)Cr .

    Text Solution

    |

  6. Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1...

    Text Solution

    |

  7. Write the first five terms of the following sequence and obtain the ...

    Text Solution

    |

  8. Prove that the sum to n terms of the series 11+103+1005+ i s(10/9)(10^...

    Text Solution

    |

  9. If a(n+1)=1/(1-an) for n>=1 and a3=a1. then find the value of (a200...

    Text Solution

    |

  10. Determine the number of terms in a G.P., if a1=3,an=96 ,a n dSn=189.

    Text Solution

    |

  11. Let {an}(ngeq1) be a sequence such that a1=1,a n d3a(n+1)-3an=1 for a...

    Text Solution

    |

  12. Let S be the sum, P the product, and R the sum of reciprocals of n ter...

    Text Solution

    |

  13. If the pth term of an A.P. is q and the qth term is p , then find its ...

    Text Solution

    |

  14. Find the product of three geometric means between 4 and 1/4.

    Text Solution

    |

  15. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

    Text Solution

    |

  16. Insert four G.M.’s between 2 and 486.

    Text Solution

    |

  17. Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)+ up to 22nd term.

    Text Solution

    |

  18. If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G...

    Text Solution

    |

  19. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

    Text Solution

    |

  20. The sum of infinite number of terms in G.P. is 20 and the sum of their...

    Text Solution

    |