Which statement is correct?
2 answers:
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We know the terms in this geometric sequence are 3, -3/4, 3/16 and so on.
now.. what's the "r" or common ratio? well, in a geometric sequence, to get the next term's value you multiply by "r", therefore, if you divide any of those values, by the value before it, the quotient will be, yes, you guessed it, "r".
namely say a, a*b.... now (a*b)/a is just b, the quotient is the value you used as multiplier.
any other two pair of values will spit out the same "r".
now, the Sum of a geometric sequence reaches a limit or point, that is converges, only if the value of "r" is a fraction and more than -1 or less than 1, negative or positive.
or in short, if | r | < 1.
now, in this case, -1/4 is indeed more than -1 and less than 0, therefore, the Sum of the sequence is convergent, it meets at a limit.
now.. what's the "r" or common ratio? well, in a geometric sequence, to get the next term's value you multiply by "r", therefore, if you divide any of those values, by the value before it, the quotient will be, yes, you guessed it, "r".
namely say a, a*b.... now (a*b)/a is just b, the quotient is the value you used as multiplier.
any other two pair of values will spit out the same "r".
now, the Sum of a geometric sequence reaches a limit or point, that is converges, only if the value of "r" is a fraction and more than -1 or less than 1, negative or positive.
or in short, if | r | < 1.
now, in this case, -1/4 is indeed more than -1 and less than 0, therefore, the Sum of the sequence is convergent, it meets at a limit.
Answer:
The answer is option A : 5%
Step-by-step explanation:
We have the following information in percentage:
Employees taking winter vacation= 75
Employees taking both winter and summer vacation= 40
Employees taking none vacation = 20
We can assume the situation as following:
Winter + Summer - Both + Neither = 100
We get;
75 + Summer - 40 + 20 = 100
So, summer = 45
45 people take vacations in summer. But 40 of them take vacation in winters too.
So, people taking vacations in summer but not winter means summer only.
This is : %
Therefore, the answer is option A : 5%