Home
Class 11
MATHS
If the surm of the first ten terms of th...

If the surm of the first ten terms of the series,`(1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+........`, is `16/5m` ,then m is equal to

A

102

B

101

C

100

D

99

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If the surm of the first ten terms of the series,(1(3)/(5))^(2)+(2(2)/(5))^(2)+(3(1)/(5))^(2)+4^(2)+(4(4)/(5))^(2)+ is (16)/(5)m, then m is equal to

If the sum of the first ten terms of the series (1(3)/(5))^(2)+(2(2)/(5))^(2)+(3(1)/(5))^(2)+4^(2)+(4(4)/(5))^(2)+.. is (16)/(5)m, then m is equal to: (1)102(2)101(3)100(4)99

The sum of the first n terms of the series 1^(2)+2.2^(2)+3^(2)+2.4^(2)+5^(2)+2.6^(2)+... is

The sum first 19 terms of the series 1^2+2(2^2)+3^2+2(4^2)+5^2+... is :

Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series 1^(2)+2.2^(2)+3^(2)+2.4^(2)+5^(2)+2.6^(2)+... If B-2A=100 lambda then lambda is equal to (1)232(2)248 (3) 464 (4) 496

Find the sum of n terms of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+

Find the sum to n terms of the series 1.2.3+2.3.4+3.4.5+…

n^(th) terms of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+......... will be

MODERN PUBLICATION-SEQUENCES AND SERIES-COMPETITION FILE
  1. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  2. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  3. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  4. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  5. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  6. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  7. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |

  8. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  9. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  10. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  11. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

    Text Solution

    |

  12. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  13. If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P.,...

    Text Solution

    |

  14. If the surm of the first ten terms of the series,(1 3/5)^2+(2 2/5)^2+(...

    Text Solution

    |

  15. For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-...

    Text Solution

    |

  16. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

    Text Solution

    |

  17. Let a1, a2, a3...a49 be in AP such that sum(k=0)^12(a4k+1)=416 and a9+...

    Text Solution

    |

  18. Let A be the sum of the first 20 terms and B be the sum of the first 4...

    Text Solution

    |

  19. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  20. Let a(1) , a(2) ...... A(50) are non constant terms of an A.P. And sum...

    Text Solution

    |