Home
Class 10
MATHS
For an A.P. show that t(m+n)+t(m-n)=2tm...

For an A.P. show that `t_(m+n)+t(m-n)=2t_m`

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    UNIQUE PUBLICATION|Exercise Assignment -III|9 Videos

  • ARITHMETIC PROGRESSION

    UNIQUE PUBLICATION|Exercise Hots Solved|5 Videos

  • CIRCLE

    UNIQUE PUBLICATION|Exercise 1 MARKS QUESTION |2 Videos

Similar Questions

Explore conceptually related problems

For an A.P, show that t_(m)+t_(2n)+m=2t_(m+n)

For an A.P., show that t_(m) + t_(2n + m) = 2t_( m + n)

If the sequence > is A.P., show that a_(m+n)+a_(m-n)=2a_mdot

In an A.P., prove that : T_(m+n) + T_(m-n) = 2*T_(m)

If S_n denotes the sum of first n terms of an A.P. such that (S_m)/(S_n)=(m^2)/(n^2), t h e n(a_m)/(a_n)= a.(2m+1)/(2n+1) b. (2m-1)/(2n-1) c. (m-1)/(n-1) d. (m+1)/(n+1)

If in an HP, t_m=n and t_n=m then prove that t_(m+n)=(mn)/(m+n) .

For an A.P. if t_(4)=20 and t_(7)=32 , find a,d and t_(n) .

In an A.P. if a=2, t_(n)=34 ,S_(n) =90 , then n=

Find d for an A.P. if (i) t_(10) =20, t_(9) = 18 (ii) t_(n) = 7, t_(n-1) = 10

For an A.P. if a=3.5,d=0,n=101, then t_(n)=….

UNIQUE PUBLICATION-ARITHMETIC PROGRESSION-Unique Practice Session
  1. Determine the AP whose third term is 15 and differnce of 5th from 8^(t...

    Text Solution

    |

  2. An A.P. consists of 40 terms . If the first and the last terms are -4 ...

    Text Solution

    |

  3. Find a, b and c such that the following numbers are in AP, a, 7, b, 23...

    Text Solution

    |

  4. The first term (a) and common difference (d) are given (i) Find first ...

    Text Solution

    |

  5. A village has 4000 literate people in the year 2010 and this number in...

    Text Solution

    |

  6. Find t(n) for following A.P., and then find 30th term of A.P. 3,8,13...

    Text Solution

    |

  7. Which term of the following A.P. is 560? 2,11,20,29.......

    Text Solution

    |

  8. Find the sum of last ten terms of the AP 8, 10, 12, …, 126.

    Text Solution

    |

  9. Find the sum, (i) 4-(1)/(n)+4-(2)/(n)+4-(3)/(n)…………upto n terms (ii)...

    Text Solution

    |

  10. Ajay sharma repays the borrowed amount of Rs 3,25,000 by paying Rs 305...

    Text Solution

    |

  11. The 19th term of an AP is equal to 3 times its 6th term. If its 9th te...

    Text Solution

    |

  12. Find the sum of first 45 terms of an A.P. whose 8^(th) term is 41 and ...

    Text Solution

    |

  13. A man has saved Rs640 during the 1^(st) month, Rs720 in the 2^(nd) mon...

    Text Solution

    |

  14. How many two digit number are divisible by 13 ? Also find their sum.

    Text Solution

    |

  15. For an A.P. show that t(m+n)+t(m-n)=2tm

    Text Solution

    |

  16. Check wether 301 is a term of the list of numbers 5, 11, 17, 23, .....

    Text Solution

    |

  17. The 10th term and the 18th term of an A.P. are 25 and 41 respectively,...

    Text Solution

    |

  18. How many two digit numbers are divisible by 4?

    Text Solution

    |

  19. A mixer manufacturing company manufactured 600 mixers in 3^(rd) year a...

    Text Solution

    |

  20. Anvar saves some amount every month. In first three months he saves Rs...

    Text Solution

    |