Home
Class 10
MATHS
n, 3n, 5n,... is an arithmetic sequence....

n, 3n, 5n,... is an arithmetic sequence.
a) What is the common difference?
b) Prove that the sum of first 'n' terms of this sequence is `n^(3)`.
c) Then find the sum of 15 terms of the sequence 15,45,75,…..

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    V PUBLICATION|Exercise QUESTION BANK|89 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the sequence 4+44+444+…….

Find the sum to n terms of the sequence 8,88,888,8888…

Find the sum to n terms of the sequence 7,77,777,7777,…….

The sum of first n terms of an arithmetic sequence is n^2+2n What is the sum of first 20 terms of this sequence?

Sum of first n terms of an arithmetic sequence is 8n^2 +5n. Find the sum of first 20 terms.

23^(rd) term of an arithmetic sequence is 32. 35^(th) term is 104. Then a) What is the common difference? b) Which is the middle term of first 35 terms of this sequence? c) Find the sum of first 35 terms of this sequence.

Find the n^(th) term of the sequence 3,5,7,………

The sum of first n terms of an arithmetic sequence is n^2+2n What is the first term?

Consider an arithmetic sequence with common difference 20. If the sum of reciprocals of two consecutive terms of this sequence is 1//24 find the first term of the arithmetic sequence .

Write the arithmetic sequence with first term 2 and common difference 3.

V PUBLICATION-ARITHMETIC SEQUENCES-Question Bank
  1. 23^(rd) term of an arithmetic sequence is 32. 35^(th) term is 104. The...

    Text Solution

    |

  2. a) How many numbers are there in the '30^(th) ' row of this number pyr...

    Text Solution

    |

  3. n, 3n, 5n,... is an arithmetic sequence. a) What is the common diffe...

    Text Solution

    |

  4. 23,30,37,.... is an arithmetic sequence a) Write the algebraic form ...

    Text Solution

    |

  5. Write down the first three terms of the sequence of natural numbers le...

    Text Solution

    |

  6. 'In these figures, the sides. of the smaller squares are in the arithm...

    Text Solution

    |

  7. The first figure above is an equilateral triangle of sides 2 centimetr...

    Text Solution

    |

  8. The first term of an arithmetic sequence is 2 and the common differenc...

    Text Solution

    |

  9. The 25^(th) term of an arithmetic sequence is 140 and the 27^(th) term...

    Text Solution

    |

  10. Sum of the first five terms of an arithmetic sequence is 45. What is t...

    Text Solution

    |

  11. a) Find the least three digit number which leaves a remainder one on d...

    Text Solution

    |

  12. Read the mathematical concept given below carefully and understand it....

    Text Solution

    |

  13. The algébraic form of an arithmetic sequence is 5n+3. a) What is the f...

    Text Solution

    |

  14. The algebraic form for the sum of first n terms of an arithmetic seque...

    Text Solution

    |

  15. There ạre 20 terms in an arithmetic sequence. Sum of the first and las...

    Text Solution

    |

  16. Consider the numbers between 100 and 300 which leave remainder 2 on di...

    Text Solution

    |

  17. Consider the arithmetic sequence 13,23,33,... What is the first three ...

    Text Solution

    |

  18. The algebraic form of an arithmetic sequence is 5n+4 a) What is its ...

    Text Solution

    |

  19. a) Write the sequence of odd numbers greater than 1 b) What is the a...

    Text Solution

    |

  20. The sum of first 9 terms of an arithmetic sequence is 45 and the sum o...

    Text Solution

    |