Answer:
Step-by-step explanation:
Given
Jar contains 4 white and 4 black marbles
We randomly select 4 marbles out of which 2 are white and 2 are black
Probability that 2 white and 2 black marbles are selected is
The process is continue for n trails until we choose the correct order
i.e. we have to fail in n-1 trails
For exact n selection Probability is given by
Given:
The sum of two terms of GP is 6 and that of first four terms is
To find:
The sum of first six terms.
Solution:
We have,
Sum of first n terms of a GP is
...(i)
Putting n=2, we get
...(ii)
Putting n=4, we get
(Using (ii))
Divide both sides by 6.
Taking square root on both sides, we get
Case 1: If r is positive, then using (ii) we get
The sum of first 6 terms is
Case 2: If r is negative, then using (ii) we get
The sum of first 6 terms is
Therefore, the sum of the first six terms is 7.875.