Home
Class 11
MATHS
Find the number of common terms to the t...

Find the number of common terms to the two sequences 17,21,25,...,417 and 16,21,26,...,466.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Number of common terms in both sequence 3, 7, 11,...., 407 and 2, 9, 16,....,905 is

Find the number of terms common to the two AP's 3,7,11,15.... 407 and 2, 9 ,16.......709.

The sum of the first 100 terms common to the series 17, 21, 25, 29, 33, …… and 16 , 21 ,26, 31 , 36 …. is

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

The sequence form by common terms of 17,21,25,"….." & 16,21,26,"…." has

Sum of the first hundred numbers common to the arithmetic progression 12, 15, 18, …………… and 17, 21, 25,………. Is

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 number of terms of the series 21, 18, 15, 12...which must be taken to give a sum of zero.

The number of terms in the expansion of (49y^(2)-70y+25)^(17) is

Find the mode of each of the following data : 29, 34, 38, 25, 25, 19, 25, 16, 37, 21, 25

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a ,b ,c ,d are distinct integers in an A.P. such that d=a^2+b^2+c^2...

    Text Solution

    |

  2. The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find it...

    Text Solution

    |

  3. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  4. If the 20th term of a H.P. is 1 and the 30th  term is -1/17, then find...

    Text Solution

    |

  5. Find the sum 3/2-5/6+7/(18)-9/(54)+...oodot

    Text Solution

    |

  6. If a ,b ,ca n dd are in H.P., then prove that (b+c+d)//a ,(c+d+a)//b ,...

    Text Solution

    |

  7. The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G....

    Text Solution

    |

  8. The mth term of a H.P is n and the nth term is m . Proves that its rth...

    Text Solution

    |

  9. The pth term of an A.P. is a and qth term is bdot Then find the sum o...

    Text Solution

    |

  10. If agt1,bgt1andcgt1 are in G.P., then show that 1/(1+log(e)a),1/(1+log...

    Text Solution

    |

  11. Solve the equation (x+1)+(x+4)+(x+7)++(x+28)=155.

    Text Solution

    |

  12. If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find t...

    Text Solution

    |

  13. The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2). Show...

    Text Solution

    |

  14. If first three terms of the sequence 1//16 ,a , b , 1/6 are in geometr...

    Text Solution

    |

  15. The sum of n ,2n ,3n terms of an A.P. are S1S2, S3, respectively. Prov...

    Text Solution

    |

  16. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

    Text Solution

    |

  17. If x is a positive real number different from 1, then prove that the n...

    Text Solution

    |

  18. Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first...

    Text Solution

    |

  19. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

    Text Solution

    |

  20. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)dot

    Text Solution

    |