Home
Class 14
MATHS
The natural numbers are written as follo...

The natural numbers are written as follows :

The sum of numbers in the nth row is :

A

`(n(n+1))/2`

B

`(n^2+1)/2`

C

`(n(n^2+1))/2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos
  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

84. The natu The natural numbers are written as follows 2 3 7 8 9 10 th The sum of the numbers in the n" row is (A) (n2-1)

The sequence N of natural numbers is divided into classes as follows.Show that the sum of the numbers in nth row is (2n^(2)+1)

Two different two-digit natural numbers are written beside each other such that the larger number is written on the left. When the absolute difference of the two numbers is subtracted from the four-digit number so formed, the number obtained is 5481. What is the sum of the two two-digit numbers?

EXAMPLE 3 A magic square is an array of numbers having the same number of rows and columns and the sum of the numbers in a row column and the sum of the numbers in each row column or diagonal being the same.Fill in the blank cells of the following magic square.

The natural numbers arearranged innthe form given below The rth group containing 2^(r-1) numbers. Prove that sum of the numbers in the nth group is 2^(n-2)[2^(n)+2^(n+1)-1] .

There is certain number of rows of chairs in a room .The number of chairs in each row is thrice the total number of rows. Find the number of charis in each row and number of rows in the room if the total number of chairs is 2187

The sum of a natural number and its square is 156. Find the number.

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. If |a| lt 1 and |b| lt 1 , then the sum of the series a(a+b) + a^2...

    Text Solution

    |

  2. Find the sum to n terms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(...

    Text Solution

    |

  3. The natural numbers are written as follows : The sum of numbers...

    Text Solution

    |

  4. The number ubrace(1111.....1)("119 times") is a:

    Text Solution

    |

  5. The interior angles of a polygon are in A.P. If the smallest angle is ...

    Text Solution

    |

  6. log(10)10+log(10)10^(2)+ . . .+log(10)10^(n)

    Text Solution

    |

  7. The value of 0.1bar23 is:

    Text Solution

    |

  8. If n is a positive integer, then ubrace(111...1)("2n times")-ubrace(22...

    Text Solution

    |

  9. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

    Text Solution

    |

  10. The odd positive intergers are arranged in a triangle as follows: ...

    Text Solution

    |

  11. Find the sum to n terms of the series log a+ log"" (a^3)/(b) + log ...

    Text Solution

    |

  12. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

    Text Solution

    |

  13. If a, b, c are in H.P. , then (b+a)/(b-a)+(b+c)/(b-c)

    Text Solution

    |

  14. Let a,b,c are in G.P. with common ratio r(0ltrlt1). Then a,2b,3c are i...

    Text Solution

    |

  15. Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((...

    Text Solution

    |

  16. Sum of infinite series 1/(1*4)+1/(4*7)+1/(7*10)+......oo is

    Text Solution

    |

  17. A sequence a1,a2,a3,.an of real numbers is such that a1=0, |a2|=|a1+1|...

    Text Solution

    |

  18. Find the sum of the squares of first 50 natural numbers

    Text Solution

    |

  19. A square is drawn by joining the mid points of the sides of a given sq...

    Text Solution

    |

  20. An A.P. and a G.P. with positive terms have the same number of terms a...

    Text Solution

    |