Home
Class 11
MATHS
The number of terms common between the s...

The number of terms common between the series `1+2+4+8+ .......`to `100` terms and 1+4+7+10 +...... to 100 terms is

Text Solution

Verified by Experts

The correct Answer is:
`(n)/(2)(n^(2)+6n-1)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    ICSE|Exercise CHAPTER TEST |25 Videos

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (g) |13 Videos

  • SELF ASSESSMENT PAPER 5

    ICSE|Exercise SECTION C|11 Videos

  • SEQUENCES AND SERIES

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

The largest term common to the sequences 1, 11 , 21 , 31 ,...... to 100 terms and 31 , 36 , 41 , 46 , .... to 100 terms is 381 b. 471 c. 281 d. none of these

Number of identical terms in the sequence 2, 5, 8, 11, ... up to 100 terms and 3, 5, 7, 9, 11, ... Up to 100 terms is

Find the number of terms in the G.P. 1, 2, 4, 8, ... 4096.

The largest term common to the sequences 1, 11 , 21 , 31 , to100 terms and 31 , 36 , 41 , 46 , to100 terms is 381 b. 471 c. 281 d. none of these

Find the sum of n terms of the series 1+4+10+20+35+…

The sum of the first 16 terms common between the series 3 +7+11+15+... and 1+6+11 +16+... is

Sum up to n terms the series 2.1+3.2+4.4+5.8+.....

No. of terms in the series 4,2,1,…,(1)/(128) is :

Find the n^(th) term of the series : 1,2,4,8, . . . . . . . . .

Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

ICSE-SEQUENCE AND SERIES -EXERCISE 14 (h)
  1. Find the sum to n terms of the series whose nth term is n (n+2)

    Text Solution

    |

  2. Find the sum to n terms of the series whose nth term is 3n^(2)+2n

    Text Solution

    |

  3. Find the sum to n terms of the series whose nth term is 4n^(3)+6n^(...

    Text Solution

    |

  4. Find the sum of the series 3xx5+ 5xx7+ 7xx9+ .. to n terms

    Text Solution

    |

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

    Text Solution

    |

  6. Find the sum of the series 2^(2)+4^(2)+6^(2)+... to n terms.

    Text Solution

    |

  7. Find the nth term and the sum to n terms of the series 1.2+ 2.3 +3.4 +...

    Text Solution

    |

  8. Sum up to n terms the series 1.2^(2)+2.3^(2)+ 3.4^(2)+...

    Text Solution

    |

  9. Sum up 1 + (1+2)+(1+ 2+3) +...+(1+2+3+...+ n ).

    Text Solution

    |

  10. The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...

    Text Solution

    |

  11. Sum up to n terms the series where nth terms is 2^(n) -1

    Text Solution

    |

  12. The number of terms common between the series 1+2+4+8+ .......to 100 t...

    Text Solution

    |

  13. Sum up 3+5+11 +29 + .... To n terms .

    Text Solution

    |

  14. Sum to n terms the series 7+77+777+....

    Text Solution

    |

  15. Sum to n terms the series 1+3+7+15+31+...

    Text Solution

    |

  16. Find the sum to n terms of the series (1.2.3) + (2.3.4) + (3.4.5) ...

    Text Solution

    |

  17. Find the sum of the series to n terms and to infinity : (1)/(1.3)+ (1)...

    Text Solution

    |

  18. Sum to n terms the series whose nth terms is (1)/(4n^(2)-1)

    Text Solution

    |

  19. Natural numbers are written as 1, (2,3), (4,5,6).. Show that the sum...

    Text Solution

    |

  20. If the sum of first n terms of an A.P. is cn^(2) then the sum of squar...

    Text Solution

    |