Home
Class 10
MATHS
(i) The nth term of a progression is 2n+...

(i) The nth term of a progression is 2n+1. Prove that it is an A. P. Also find its 5th term.
(ii) The nth term of a progression is linear expansion in 'n' . Show that it is an A.P.
(iii) The nth term of a progression is `(n^(2)+1)` . Show that it is not an A.P.

Text Solution

Verified by Experts

The correct Answer is:
(i)11
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5c|24 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5d|10 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Exercise 5a|5 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|6 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|3 Videos

Similar Questions

Explore conceptually related problems

The nth term of a progression is 3^(n+1) . Show that it is a G.P. Also find its 5th term.

The nth term of a progression is 2n+3. Show that it is an A.P. Also find is 10th term.

The nth term of a progression is 2^(n). Prove that it is G.P. Also find its common ratio.

The sum of n terms of a series is n(n+1) . Prove that it is an A.P. also find its 10th term.

(a) The sum of 'n' terms of a progression is n(n + 1). Prove that it is an A..P. Also find its 10th term. (b) The sum of 'n' terms of a progression is (3n^(2) - 5n). Prove that it is an A.P. (c) If the sum of n terms of a series is (5n^(2) + 3n) then find its first five terms.

If the nth term of a progression be a linear expression in n prove that this progression is an AP.

The nth term of a sequence is given by a_(n)=2n^(2)+n+1. Show that it is not an A.P.

The nth term of a sequence is given by a_(n)=2n+7 .Show that it is an A.P.Also,find its 7 th term.

If the nth term of a sequence is an expressionof first degree in n,show that it is an A.P.

(a) The nth term of a progression is (3n + 5) . Prove that this progression is an arithmetic progression. Also find its 6th term. (b) The nth term of a progression is (3 - 4n) . Prove that this progression is an arithmetic progression. Also find its common difference. (c) The nth term of a progression is (n^(2) - n + 1). Prove that it is not an A.P.

NAGEEN PRAKASHAN-ARITHMETIC PROGRESSION-Exercise 5b
  1. (a) Find the 10th term of the progression 1 + 3 + 5 +7+ ... (b) Fin...

    Text Solution

    |

  2. (i) Which term of the A.P. 4, 8, 12, ...... Is 76? (ii) Which term o...

    Text Solution

    |

  3. (i) Find the number of terms in the A.P. 8, 12, 16, ........124 (i...

    Text Solution

    |

  4. (i) How many number of two digits are divisible by 3 ? (ii) How many...

    Text Solution

    |

  5. (i)Which term of the A.P. 4, 3(5)/(7), 3(3)/(7), ..... is the first ne...

    Text Solution

    |

  6. The 18th term of an A.P. exceeds its 12th term by 24. Find the common ...

    Text Solution

    |

  7. Is 313, a term of the A.P. 5, 10, 15, ..... ?

    Text Solution

    |

  8. (i) The 3rd and 19th terms of an A.P. are 13 and 17 respectively. Find...

    Text Solution

    |

  9. (i) 6 times the 6th term of an A.P. is equal to 10 times the 10th term...

    Text Solution

    |

  10. If (m+1)^(t h) term of an A.P. is twice the (n+1)^(t h) term, prove th...

    Text Solution

    |

  11. Which term of the arithmetic progression 5,\ 15 ,\ 25 ,\ dot will b...

    Text Solution

    |

  12. Find the value of k if k+1, 2k+1 and k+7 are in A.P.. Also find the ne...

    Text Solution

    |

  13. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

    Text Solution

    |

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

    Text Solution

    |

  15. The sequence p(1), p(2), p(3), ... satisfies the relation 2p(n)=p(n-1)...

    Text Solution

    |

  16. (i) The nth term of a progression is 2n+1. Prove that it is an A. P. ...

    Text Solution

    |

  17. (i) Find the 10th term from the end of the A.P. 82, 79, 76, .... , 4...

    Text Solution

    |

  18. In a flower bed, there are 51 plants in the first row, 48 plants in th...

    Text Solution

    |

  19. Subba Rao started work in 1995 at an annual salary of Rs 5000 and r...

    Text Solution

    |

  20. The salary of Karishma increases by Rs. 1000 every three months. If h...

    Text Solution

    |