Quiz 3

Question 1

Let S denote the infinite sum 2 + 5x + 9x2 + 14x3 + 20x4 + …, where   | x | < 1, then S equals

2−x(1−x)3\frac{2-x}{(1-x)^{3}}

2−x(1+x)3\frac{2-x}{(1+x)^{3}}

2+x(1−x)3\frac{2+x}{(1-x)^{3}}

2+x(1+x)3\frac{2+x}{(1+x)^{3}}

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Question 2

Consider a sequence S whose nth term tn is defined as 1 + 3n, where n = 1, 2, 3... Find the product of all consecutive terms of S starting from the 4th term to the 60th term.

1980.55

1985.55

1990.55

1997.24

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ANSWER A - 1980.55

 

 

Question 3

Let P =  {2, 3, 4, ………. 100} and Q = {101, 102, 103, ….. 200}. How many elements of Q are there such that they do not have any element of P as a factor ?

21

24

23

20

  • PrepInsta Explanation
  • User Explanation

Given,
P={2, 3, 4,….. 100}
Q={101, 102, 103, ………200}
To calculate the number of elements of Q which do not have any element of P as factor
i.e. we have to find all the prime numbers from 101 to 200
Total number of prime numbers between 101 and 200 is 21.
(D)

["0","40","60","80","100"]
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