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{n(n+1)/2 : n is a positive integer} is
  • a)
    a finite set
  • b)
    an infinite set
  • c)
    is an empty set
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
{n(n+1)/2 : n is a positive integer} isa)a finite setb)an infinite set...
Explanation:
The given set is {n(n+1)/2 : n is a positive integer}.
To determine whether the given set is finite or infinite, we need to understand the pattern of the set.

Let's list out the first few terms of the set:

n = 1: 1(1+1)/2 = 1
n = 2: 2(2+1)/2 = 3
n = 3: 3(3+1)/2 = 6
n = 4: 4(4+1)/2 = 10
n = 5: 5(5+1)/2 = 15

From the above list, we can observe that the set is increasing and contains all the integers of the form n(n+1)/2.

Hence, the given set is an infinite set.
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Community Answer
{n(n+1)/2 : n is a positive integer} isa)a finite setb)an infinite set...
1) whatever N is.. if 1 is added to it the resulting number divisible by 2 this is possible cause interger is infinite
2) no matter what is in bracket ..there is one sequence showing first adding then multiply and last divide by two so coming interger is an infinite set
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{n(n+1)/2 : n is a positive integer} isa)a finite setb)an infinite setc)is an empty setd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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