Home
Class 12
MATHS
Let X be the set consisting of the first...

Let X be the set consisting of the first 2018 terms of the arithmetic progression 1,6,11, ... , and Y be the set consisting of the first 2018 terms of the arithmetic progression 9,16,23, ... . Then `n(X uu Y) = ______`

Text Solution

Verified by Experts

The correct Answer is:
3748
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 65

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos
  • NTA TPC JEE MAIN TEST 67

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Let X be the set consisting of the first 2018 terms of the arithmetic progression 1,6, 11,.... and Y be the set consisting of the first 2018 terms of the arithmetic progression 9,16,23,... Then, the number of elements in the set X uu U is ____

Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11 , ddot, and Y be the set consisting of the first 2018 terms of the arithmetic progression 9, 16 , 23 , ddot . Then, the number of elements in the set XuuY is _____.

Knowledge Check

  • In an artimetic progression, the 24th term is 100. Then, the sum of the first 47 terms of the arithmetic progression is

    A
    2300
    B
    2350
    C
    2400
    D
    4700
  • If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is

    A
    `(47)/(25)`
    B
    `(149)/(50)`
    C
    `(74)/(25)`
    D
    `-(149)/(50)`
  • Suppose the sum of the first m teams of a arithmetic progression is n and the sum of its first n terms is m, where mnen. Then the dum of the first (m + n) terms of the arithmetic progression is

    A
    1- mn
    B
    mn- 5
    C
    `-(m = n)`
    D
    m + n
  • Similar Questions

    Explore conceptually related problems

    Find the 9th term of the arithmetic progression 1, 3.5, 6, 8.5, .........

    The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?

    The sum of the first three terms of an arithmetic progression is 9 and the sum of their squares is 35. The sum of the first n terms of the series can be

    (1) .Let S_n denote the sum of the first 'n' terms and S_(2n)= 3S_n. Then, the ratio S_(3n):S_n is: (2) let S_1(n) be the sum of the first n terms arithmetic progression 8, 12, 16,..... and S_2(n) be the sum of the first n terms of arithmatic progression 17, 19, 21,....... if S_1(n)=S_2(n) then this common sum is

    If the sum of the first 23 terms of an arithmetic progression equals that of the first 37 terms , then the sum of the first 60 terms equals .