Home
Class 10
MATHS
The nth term of a sequence is (2n-3), fi...

The nth term of a sequence is (2n-3), find its fifteenth term.

Text Solution

AI Generated Solution

The correct Answer is:
To find the fifteenth term of the sequence defined by the nth term \( a_n = 2n - 3 \), we can follow these steps: ### Step 1: Identify the formula for the nth term The nth term of the sequence is given by: \[ a_n = 2n - 3 \] ### Step 2: Substitute \( n = 15 \) into the formula To find the fifteenth term, we substitute \( n = 15 \) into the formula: \[ a_{15} = 2(15) - 3 \] ### Step 3: Calculate the value Now, we perform the calculation: \[ a_{15} = 30 - 3 \] \[ a_{15} = 27 \] ### Final Answer The fifteenth term of the sequence is: \[ \boxed{27} \] ---
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    ICSE|Exercise Exercise 10B|16 Videos
  • ARITHMETIC PROGRESSION

    ICSE|Exercise Exercise 10C|14 Videos
  • ARITHMETIC PROGRESSION

    ICSE|Exercise Exercise 10F|25 Videos
  • BANKING

    ICSE|Exercise Competency Based Questions|10 Videos

Similar Questions

Explore conceptually related problems

The nth term of a sequence is (3n-7) . Find its 20th term.

The nth term of a sequence is (3n-7). Find its 20th term.

The nth term of a sequence is a_(n)=2n+3 . Find its first four terms.

The nth term of a sequence is a_(n)=n^(2)+5 . Find its first three terms.

The nth term of a sequence is defined as follows. Find the first four terms: (i) T_(n)=3n+1 (ii) T_(n)=n^(2)+5

The nth term of a sequence is 3n-2 is the sequence an A.P.? If so, find its 10th term.

If nth term of a sequences is 4n^2+1, find the sequence. Is this sequences at A.P.?

If the nth term of an A.P. is (3-7n), find its 10th term.

The n t h term of a sequence is 3n-2 . Is the sequence an AdotPdot If so, find its 10 t h term.

The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

ICSE-ARITHMETIC PROGRESSION-Exercise 10A
  1. Which of the following sequqnces are in arithmetic progression? (i) ...

    Text Solution

    |

  2. The nth term of a sequence is (2n-3), find its fifteenth term.

    Text Solution

    |

  3. If the pth term of an A.P. is (2p+3), find the A.P.

    Text Solution

    |

  4. Find the 24th term of the sequence: 12,10,8,6…..

    Text Solution

    |

  5. Find the 30th term of the sequence: 1/2 , 1, 3/2,….

    Text Solution

    |

  6. Find the 100th term of the sequence: sqrt3, 2sqrt3, 3sqrt3,…..

    Text Solution

    |

  7. Find the 50th term of the sequence 1/n, (n+1)/(n), (2n+1)/(n),,……..

    Text Solution

    |

  8. Is 402 a term of the sequence : 8, 13, 18, 23, ................. ?

    Text Solution

    |

  9. Find the common difference and 99th term of the arithmetic progression...

    Text Solution

    |

  10. How many terms are there in the series : 4,7,10,13,……..148?

    Text Solution

    |

  11. Which term of the A.P. 1,4,7,10,…….. Is 52?

    Text Solution

    |

  12. If 5th and 6th terms of an A.P. are respectively 6 and 5, find the 11t...

    Text Solution

    |

  13. If t(n) represents nth term of an A.P., t(2)+t(5)-t(3)= 10 and t2 + t9...

    Text Solution

    |

  14. Find the 10th term from the end of the A.P. 4, 9, 14,…………. 254.

    Text Solution

    |

  15. Determine the arithmetic progression whose 3rd term is 5 and 7th term ...

    Text Solution

    |

  16. Find the 31st term of an A.P. whose 10th term is 38 and 16th term is 7...

    Text Solution

    |

  17. Which term of the series : 21, 18, 15, is -81 ? Can any term this se...

    Text Solution

    |

  18. An A.P. consists of 60 terms. If the first and the last terms 7 and 12...

    Text Solution

    |

  19. The sum of the 4th and the 8th terms of an A.P. is 24 and the sum of t...

    Text Solution

    |

  20. If the third term of an A.P. is 5 and the seventh terms is 9, find the...

    Text Solution

    |