Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
If we raise a number to a power of 2, we can represent the result graphically as shown below (where n is the number to be raised to a power of 2)
This is a square of side equal to n.
Therefore, the answer is option C, squared.
Total gumballs= 6 yellow+ 5 green + 4 red
= 15 gumballs
Green gumballs=5
Other gumballs= 15-5= 10
Probability= Other non-green gumballs/Total gumballs
=10/15 = 2/3
Probability of not getting green gumball is 2/3 or 66.66666.... %
The ration is 2:3.
