Home
Class 12
MATHS
In a certain AP, 5times the 5^(th) term ...

In a certain AP, 5times the `5^(th)` term is equal to 8 times the `8^(th)` term. Its `13^(th)` term is

Text Solution

Verified by Experts

`5T_(5)=8T_(8)`
or `5(a+4d)=8(a+7d)`
or `3a+36d=0`
or `a+12d=0`
`rArrT_(13)=0`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.1|3 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.2|10 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Multiple Correct Answer|4 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

In a certain A.P., 5 times the 5th term is equal to 8 times the 8th terms then find its 13th term.

If 6 times of 6^(th) term of an A.P is equal to 7 times the 7^(th) term , then the 13^(th) term of the A.P. is ………… .

The 29^(th) term of an A.P is twice its 19^(th) term. Its 9^(th) term is equal to

If the 9^(th) term of A.P. is zero, then the ratio of 29^(th) term to 19^(th) term is

If m times the m^(th) term of an A.P. is equal to n times its n^(th) term, then show that the (m + n)th term of the A.P. is zero.

If 6 times of 6th term of an A.P. is equal to 7 times term, then the 13th term of the A.P. is

If the 10^(th) term of G.P is 9 and 4^(th) term is 4 then its 7^(th) term is

If p^(th) term of an AP is q and q^(th) term is p, find (p+q)^(th) term.

If the p^(th) term if an A.P. is q and the q^(th) term of an A.P is p then the r^(th) term is

CENGAGE-PROGRESSION AND SERIES-Examples
  1. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

    Text Solution

    |

  2. Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P...

    Text Solution

    |

  3. In a certain AP, 5times the 5^(th) term is equal to 8 times the 8^(th)...

    Text Solution

    |

  4. Find the term of the series 25 ,22 ,3/4,20 1/2,18 1/4 which is numeric...

    Text Solution

    |

  5. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then...

    Text Solution

    |

  6. Consider two A.P. s: S1:2,7,12 ,17 , 500t e r m s a n dS1:1,8,15 ,22 ,...

    Text Solution

    |

  7. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

    Text Solution

    |

  8. If p,q and r (pneq) are terms ( not necessarily consecutive) of an A.P...

    Text Solution

    |

  9. If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...

    Text Solution

    |

  10. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

    Text Solution

    |

  11. If a ,b ,c in R+ form an A.P., then prove that a+1//(b c),b+1//(a c),...

    Text Solution

    |

  12. If a,b,c are in A.P., then prove that the following are also in A.P ...

    Text Solution

    |

  13. If the sum of three numbers in A.P., is 24 and their product is 440, f...

    Text Solution

    |

  14. Divide 32 into four parts which are in A.P. such that the ratio of the...

    Text Solution

    |

  15. The digits of a positive integer, having three digits, are in A.P. and...

    Text Solution

    |

  16. If eleven A.M. s are inserted between 28 and 10, then find the number ...

    Text Solution

    |

  17. Between 1 and 31, m numbers have been inserted in such a way that the ...

    Text Solution

    |

  18. Find the sum of all three-digit natural numbers, which are divisible b...

    Text Solution

    |

  19. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

    Text Solution

    |

  20. Find the degree of the expression (1+x)(1+x^6)(1+x^(11))(1+x^(101))dot

    Text Solution

    |