The explicit rule for given sequence is:
Further explanation:
We have to determine first of all if the sequence is arithmetic or geometric.
- If the difference of two consecutive terms is same then the sequence is arithmetic sequence
- If the ratio of two consecutive terms is same then the sequence is geometric sequence
Given sequence is:
12,22,32,42
The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:
Putting the values of a1 and d
The explicit rule for given sequence is:
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
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Answer:
2
Step-by-step explanation:
it literally doubles in size
The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.
Now, we can simplify this:
Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.
Hm good question. Maybe you can measure the temperature in a place and measure another temperature in a other place and add it together.
Answer:
Probability of chossing a face card and the month of june = 0.019
Step-by-step explanation:
Let A be the event that a face card is chosen from a deck of 52 cards
And
B be the event that a month is being chosen from 12 months of an year
So,
n(S)for A=52
n(S)for B=12
As a deck of card has total of 12 face cards so
P(A)=12/52
=3/13
P(B)=1/12
As both the events are independent, the probability of A and B is the product of both events’ probabilities.
P(A and B)= P(A)*P(B)
=3/13*1/12
=3/156
=0.019
