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.

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 5th and nth terms of the sequence [1, 4, 9, 16,….].

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128 , 32 , 8 , 2 1/2

Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +........

Find the number of odd proper divisors of 3^pxx6^mxx21^ndot

Show that the following two A.P. is have 14 common terms 3,7,11,15...,407 and 2,9,16,23,...,709 ,

Show that the products of the corresponding terms of the sequences a, ar, ar^2 ,…ar^(n – 1) and A, AR, "AR"^2, … "AR"^(n – 1) form a G.P, and find the common ratio.

Find the sum upto the nth term of the series (1+3) + (5+7+9+11) + (13 +15+17+19+21+23)+… .

Find the sum to indicated number of terms in each of the geometric progressions in sqrt7, sqrt(21),sqrt7 , ........n terms

Find the median of the numbers given below 13,17,17,19,25,23,19,17,19,13,19,17,13,23

Find the equation of the common tangent in the first quadrant of the circle x^2+y^2=16 and the ellipse x^2/25+y^2/4=1 .Also find the length of the intercept of the tangent between the coordinates axes.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

    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 the...

    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 geometri...

    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)

    Text Solution

    |