Home
Class 10
MATHS
The next term of the AP sqrt(7), sqrt(28...

The next term of the AP `sqrt(7), sqrt(28), sqrt(63)`,… is

A

`sqrt(70)`

B

`sqrt(84)`

C

`sqrt(98)`

D

`sqrt(112)`

Text Solution

Verified by Experts

The correct Answer is:
D

Given terms are `sqrt(7), sqrt(4 xx 7), sqrt(9 xx 7),…., i.e., sqrt(7), 2sqrt(7), 2sqrt(7), 3sqrt(7),`….
So, the next term is `4sqrt(7) = sqrt(4 xx 4 xx 7) = sqrt(112)`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    RS AGGARWAL|Exercise Exercise 5D|27 Videos
  • AREA OF CIRCLE, SECTOR AND SEGMENT

    RS AGGARWAL|Exercise Test Yourself|19 Videos
  • CIRCLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

Similar Questions

Explore conceptually related problems

Show that each of the following progression is an AP. Find the common difference and the next term of each. (i) sqrt(7), sqrt(28), sqrt(63), …. (ii) sqrt(18), sqrt(50), sqrt(98),

Find the next term of the AP sqrt(3), sqrt(27), sqrt(75) .....

Write the next of the AP sqrt(8), sqrt(18), sqrt(32),…

The 11^(th) term of the AP: sqrt(2), 3sqrt(2), 5sqrt(2),…. is:

The 11^(th) term of the AP: sqrt(2), 3sqrt(2), 5sqrt(2),…. is:

Write the next of the AP sqrt(2), sqrt(8), sqrt(18),…

Find: (i) the 20th term of the AP 9, 13, 17, 21, … (ii) the 35 th term of the AP 20, 17, 14, 11,… (iii) the 18th term of the AP sqrt(2), sqrt(18), sqrt(50), sqrt(98),… (iv) the 9th term of the AP (3)/(4), (5)/(4), (7)/(4), (9)/(4),.... (v) the 15th term of the AP -40, -15, 10, 35,....

Write the 11th term of the A.P.: sqrt(3), 3sqrt(3), 5sqrt(3), ________

The 18 th term of the AP sqrt(2),sqrt(18),sqrt(50),sqrt(98)

RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The common difference of the AP (1)/(p), (1-p)/(p), (1-2p)/(p),…. Is

    Text Solution

    |

  2. The common difference of the AP (1)/(3), (1-3b)/(3), (1-6b)/(3),… is

    Text Solution

    |

  3. The next term of the AP sqrt(7), sqrt(28), sqrt(63),… is

    Text Solution

    |

  4. If 4, x(1), x(2), x(3), 28 are in AP then x(3) = ?

    Text Solution

    |

  5. If the nth term of an AP is (2n +1) then the sum of its first three te...

    Text Solution

    |

  6. The sum of first n terms of an AP is (3n^(2) + 6n). The common differe...

    Text Solution

    |

  7. The sum of first n terms of an AP is (5n - n^(2)). The nth term of the...

    Text Solution

    |

  8. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

    Text Solution

    |

  9. The 7th term of an AP is -1 and its 16th term is 17. The nth term of t...

    Text Solution

    |

  10. The 5th term of an AP is -3 and its common difference is -4. The sum o...

    Text Solution

    |

  11. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 6...

    Text Solution

    |

  12. The 13^(th) term of an AP is 4 times its 3^(rd) term. If its 5^(th) te...

    Text Solution

    |

  13. An AP 5, 12, 19, … has 50 terms. Its last term is

    Text Solution

    |

  14. The sum of first 20 odd natural numbers is

    Text Solution

    |

  15. The sum of first 40 positive integers divisible by 6 is

    Text Solution

    |

  16. How many two -digit numbers are divisible by 3?

    Text Solution

    |

  17. How many three-digit numbers are divisible by 9?

    Text Solution

    |

  18. What is the common difference of an AP in which a(18)-a(14) = 32?

    Text Solution

    |

  19. If a(n) denotes the nth term of the AP 3, 18, 13, 18,… then what is th...

    Text Solution

    |

  20. Which term of the AP 72, 63, 54, … is 0?

    Text Solution

    |