Home
Class 9
MATHS
Look at the following pattern: 1^(2) ...

Look at the following pattern:
`1^(2) = 1`
`11^(2) =121`
`111^2 = 12321`
`1111^(2)=1234321`
`11111^2 = 123454321`
Make a conjecture about about each of the following :
` 111111^2=..............`
` 1111111^2=...........`
Check if your conjecture is true .

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|76 Videos
  • QUADRILATERALS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|81 Videos

Similar Questions

Explore conceptually related problems

Factorise the following : m^2 - 121 .

Factorise the following 81x^(2)-121/49

Factorise the following 121x^(2) - 36y^(2)

Write the following in logarithmic form 11^(2)=121

Calculate the following (5)1/2div(2)9/11

Solve the following equations : 11(2x-3)+2(x+1)=2(9+2x)

Check whether the following are quadratic equations: (x - 2)^(2) + 1 = 2x - 3

Check whether the following are quadratic equations: (x - 2)^(2) + 1 = 2x - 3

Which of the following is not true about SO_(2)

Check whether the following equations are quadratic or not. x^(2) + 1/x^(2) = 2

VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Look at the following pattern. i) 28=2^2×7^1 , Total number of factors...

    Text Solution

    |

  2. Look at the following pattern. ii) 30=2^1×3^1×5^1 , Total number of fa...

    Text Solution

    |

  3. Look at the following pattern: 1^(2) = 1 11^(2) =121 111^2 = 12...

    Text Solution

    |

  4. List five axioms (postulates) used in text book.

    Text Solution

    |

  5. In a polynomial p(x)=x^(2) + x + 41 put different value of x and find ...

    Text Solution

    |

  6. State which of the following are mathematical statements and which are...

    Text Solution

    |

  7. State which of the following are mathematical statements and which are...

    Text Solution

    |

  8. State which of the following are mathematical statements and which are...

    Text Solution

    |

  9. State which of the following are mathematical statements and which are...

    Text Solution

    |

  10. State which of the following are mathematical statements and which are...

    Text Solution

    |

  11. Find counter examples to disprove the following statements: Every r...

    Text Solution

    |

  12. Find counter examples to disprove the following statements: For any...

    Text Solution

    |

  13. Find counter examples to disprove the statements: If n is a whole num...

    Text Solution

    |

  14. Find counter examples to disprove the statements: Two triangle are co...

    Text Solution

    |

  15. Find counter examples to disprove the statements: A quadrilateral wit...

    Text Solution

    |

  16. Prove that the sum of two odd numbers is even.

    Text Solution

    |

  17. Prove that the product of two even numbers is an even numbers.

    Text Solution

    |

  18. Prove that if x is odd, then x^2 is also odd

    Text Solution

    |

  19. Examine why they work ? Choose a number. Double it. Add nine. Add yo...

    Text Solution

    |

  20. Write down any three-digit number (for example, 425). Examine why they...

    Text Solution

    |