Home
Class 12
MATHS
Assertion (A) (1)+(1+2+4)+(4+6+9)+(9+1...

Assertion (A)
`(1)+(1+2+4)+(4+6+9)+(9+12+16)+……+(81+90+100)=1000`
Reason ( R) `sum_(r=1)^11(r^3-[r-1]^3)=n^3` for any natural number n

A

Both (A) and ( R) are true and ( R) is the correct explanationn of (A)

B

Both (A) and ( R) are true but ( R) is not the correct explanation of (A)

C

(A) is true but (R ) is false

D

(A) is false but ( R) is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

  • AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

Similar Questions

Explore conceptually related problems

Statement - 1 : The sum of the series 1+ ( 1+2+4) + ( 4+6+9) + ( 9+ 12+ 16) + ... + ( 361 + 380 + 400) is 8000 Statement-2: sum_(k=1)^(n) [ k^(3) - (k-1)^(3) ] = n^(3) , for any natural number 'n'

sum_(r=1)^(n) (-1)^(r-1) ""^nC_r(a - r) =

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

Let f(1)=1 and f(n)=2 sum_(r=1)^(n-1)f(r) then sum_(n=1)^(m)f(n)=

If sum_(r=1)^(n) a_(r) = (n (n+1)(n+2) )/( 6) AA n ge 1 , then Lt_(n to oo) sum_(r=1)^(n) (1)/( a_r)=

{:(" " Lt),(n rarroo):}(1)/(n^(2)) sum_(r=1)^(n) r.e^(r//n)=

Lt_(ntooo)sum_(r=1)^(n-1)(1)/(sqrt(n^(2)-r^(2)))=

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)-MATHEMATICS
  1. f(x)=x/(e^x-1)+x/2+2cos^3 x/2 on R-{0} is

    Text Solution

    |

  2. Consider the following units

    Text Solution

    |

  3. Assertion (A) (1)+(1+2+4)+(4+6+9)+(9+12+16)+……+(81+90+100)=1000 Re...

    Text Solution

    |

  4. IF {:[(1,0),(0,-1):}] , P={:[(1,1),(0,1):}] and X=APA^T then A^TX^(50)...

    Text Solution

    |

  5. IF [x] is the greatest integer less than or equal to x and IxI is the ...

    Text Solution

    |

  6. Investigate the values of lamda and mu for the system x+2y+3z=6,x+3y+5...

    Text Solution

    |

  7. IF z=x +iy,x,y, in R, (x,y) ne (0,-4) and Arg ((2z-3)/(z+4i))=pi/4, th...

    Text Solution

    |

  8. IF z=x+iy,x,y in R and the imaginary part of ((overlinez-1)/(overlinez...

    Text Solution

    |

  9. IF omega represents a complex cube root of unity, then (1+1/omega)(1+1...

    Text Solution

    |

  10. IF omega is a complex cube root of unity sum(r=1)^9r(r+1-omega)(r+1-...

    Text Solution

    |

  11. IF alpha and beta are the roots of x^2+7x+3=0 and (2alpha)/(3-4alpha),...

    Text Solution

    |

  12. IF alpha , beta are the roots of x^2+bx+c=0, gamma,delta are the roots...

    Text Solution

    |

  13. Let a,b and s be the sides of a scalane triangle. IF lamda is a real n...

    Text Solution

    |

  14. The polynomial equation of degree 4 having real coefficients with thre...

    Text Solution

    |

  15. All the letters of the work ANIMAL are permuted in all possible ways a...

    Text Solution

    |

  16. A student is allowed to choose atmost n books from a collection of 2n+...

    Text Solution

    |

  17. The sum of all the coefficients in the binomial expansion of (1+2x)^n ...

    Text Solution

    |

  18. If (1-px)^-1/((1-qx))=a0+a1x+a2x^2+a3x^3+....... then an=

    Text Solution

    |

  19. IF 3/((x-1)(x^2+x+1))=1/(x-1)-(x+2)/(x^2+x+1)=f1(x)-f2(x)and-(x+1)/((x...

    Text Solution

    |

  20. Let M and m respectively denote the maximum and the minimum values of ...

    Text Solution

    |