Home
Class 12
MATHS
If a = underset(55 "times")underbrace(11...

If `a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3)+10^(4) and c=1+10^(5)+10^(10)+.+10^50` then prove that a=bc

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -1 PART -I RMO|43 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -1 PART -II RMO|1 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SSP|55 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

Similar Questions

Explore conceptually related problems

(1/4)^(-10)xx(2/5)^(-10)

The rate constant of a reaction is 1.5 xx 10^(7)s^(-1) at 50^(@)C and 4.5 xx 10^(7) s^(-1) at 100^(@)C . Evaluate the Arrhenius parameters A and E_(a) .

The rate constant of a reaction is 1.5 xx 10^(7)s^(-1) at 50^(@)C and 4.5 xx 10^(7) s^(-1) at 100^(@)C . Evaluate the Arrhenius parameters A and E_(a) .

Compare the following numbers: (i) 2. 7xx10^(12) and 1. 5xx10^8 (ii) 4xx10^(14) and 3xx10^(17)

4/10, 7/10, 2/10, 1/10 Add these

The rate constant of a reactant is 1.5 xx 10^(-3) at 25^(@)C and 2.1 xx 10^(-2) at 60^(@)C . The activation energy is

Find the number : a. (4xx10^(5))+(3xx10^(2))+(7xx10^(0)) b. (3xx10^(6))+(8xx10^(3))+(1xx10^(1))

Evaluate: b. (3)/(4) of (4 (1)/(5) xx (10)/(7))

{:("Column A"," ","Column B"),(2 xx 10^1 + 3 xx 10^(0) +4 xx 10^(-1) + 5 xx 10^(-2),,1 xx 10^(-3) + 2 xx 10^(-2) xx 10^(-2) + 3 xx 10^(-1) + 4 xx 10^(0) + 5 xx 10^(1)):}

The fraction equivalent to 1 2/3 is (a) (10)/3 (b) 3/5 (c) (10)/6 (d) 6/(10)

RESONANCE ENGLISH-SEQUENCE & SERIES -SELF PRACTICE PROBLEMS
  1. Find the sum of first 16 terms of an A.P. a (1), a (2), a(3)……….. If...

    Text Solution

    |

  2. There are n A.M. s between 3 and 29 such that 6th mean : (n - 1) th me...

    Text Solution

    |

  3. For what value of n , (a ^(n +3) + b ^(n +3))/(a ^(n +2) + b ^(n +2)),...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G....

    Text Solution

    |

  6. A G.P. consist of 2n terms. If the sum of the terms occupying the odd ...

    Text Solution

    |

  7. If the continued product of three numbers in G.P. is 216 and the sum o...

    Text Solution

    |

  8. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the geo...

    Text Solution

    |

  9. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

    Text Solution

    |

  10. If a,b,c,d,e are five numbers such that a,b,c are in A.P., b,c,d are i...

    Text Solution

    |

  11. If the ratio of H.M. between two positive numbers 'a' and 'b' (a gt b)...

    Text Solution

    |

  12. (i) a , b, c are in H.P. , show that (b + a)/(b -a) + (b + c)/(b - c)...

    Text Solution

    |

  13. If a,b,c ,d are in H.P., then show that ab + bc + cd =3ad

    Text Solution

    |

  14. If 4 + (4 +d)/( 5) + (4 + 2d)/(5 ^(2)) ……….=1, then find d.

    Text Solution

    |

  15. Evaluate :1 + 3x + 6x ^(2) + 10 x ^(3)+……. upto infinite term, whre |x...

    Text Solution

    |

  16. Sum to n terms of the series :1 + 2 (1 + (1)/(n)) + 3 (1 + (1)/(n )) ^...

    Text Solution

    |

  17. Sum to n terms the series (3)/(1 ^(2) . 2 ^(2)) + (5)/( 2 ^(2) . 3 ^...

    Text Solution

    |

  18. Sum to n terms the series 1 + (1+ 2) + (1 + 2 + 3) + (1 + 2 + 3 + 4)...

    Text Solution

    |

  19. Sum to n terms the series 4 + 14 + 30 + 52+ 82+ 114+.........

    Text Solution

    |

  20. If sum (r =1) ^(n ) T (r) = (n +1) ( n +2) ( n +3) then find sum ( r ...

    Text Solution

    |