Home
Class 12
MATHS
Find the first five terms of the sequenc...

Find the first five terms of the sequence whose general term is given by
` a_(n)={ {:(n^(2) -1,",if n is odd"),((n^(2) +1)/(2),",if n is even "):}`

Text Solution

Verified by Experts

Given , `a_(n) = {{:(n^(2) -1 ,, "if n is odd "),((n^(2) +1)/(2) , "if n is even"):}`
`therefore a_(1) = (1)^(2) - 1 = 0`,
` a_(2) = (4 + 1)/(2) = (5)/(2)`
` a_(3) = (3)^(2) - 1 = 8`
` a_(4) = (16 +1)/(2) = (17)/(2)`
` a_(5) = 25 - 1 = 24 `
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B) One option is correct|50 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find the first five terms of the sequence whose general term is given by a_(n) =((-1)^(n))/(3+n)

Find the first five terms of the sequence whose general term is given by a_(n) = 1 + (1)/(2) + (1)/(3) + …+ (1)/(n)

Write the first five terms of the sequences whose nth term is a_(n)=2n+5

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=n(n+2)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=2^(n)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=(n)/(n+1)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=n(n^(2)+5)/(4)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=(2n-3)/(6)

Write the first five terms of the sequences in whose nth terms is : a_(n)=(-1)^(n-1).5^(n+1)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=(-1)^(n-1)5^(n+1)

AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
  1. Find the indicated terms in each of the following sequences whose n^(...

    Text Solution

    |

  2. Find the first five terms of the sequence whose general term is given ...

    Text Solution

    |

  3. Find the first five terms of the sequence whose general term is given ...

    Text Solution

    |

  4. lf a(n)={ {:(n^(2), "when n is odd"),(2n,"when n is even "):} th...

    Text Solution

    |

  5. Show that for the sequence defined by a(n) = (n -1) (n-2) ,the first...

    Text Solution

    |

  6. Find the first five terms of the following sequences and write down th...

    Text Solution

    |

  7. Write the first five terms of the following sequences and obtain the ...

    Text Solution

    |

  8. Is the sequence defined by a(n) = 3n^(2) + 2 an A.P. ?

    Text Solution

    |

  9. Show that the sequence (p + q)^(2), (p^(2) + q^(2)), (p-q)^(2) … is a...

    Text Solution

    |

  10. Determine the number of terms in the A.P. 3,4,5, …, 399 . Also find ...

    Text Solution

    |

  11. Find the indiated terms in each of the following A.P. (i) 1, 7, 1...

    Text Solution

    |

  12. The 11^(th) of an A.P. is 80 and the 16^(th) term is 110 . Find the...

    Text Solution

    |

  13. In an A.P., the p^(th) term is 1/p and the q^(th) term is 1/p. fin...

    Text Solution

    |

  14. The sum of three numbers in A.P. is 27 and the sum of their squares i...

    Text Solution

    |

  15. 4. (a) Divide 20 into 4 parts which are in A.P. and such that. the pro...

    Text Solution

    |

  16. If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" a...

    Text Solution

    |

  17. If a ,b ,c are in A.P., prove that the following are also in A.P. 1/(b...

    Text Solution

    |

  18. If a^2, b^2, c^2 are in A.P, show that: a/(b+c), b/(c+a), c/(a+b) are...

    Text Solution

    |

  19. If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b...

    Text Solution

    |

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

    Text Solution

    |