{1, 2, 3, 4, 6, 12}
{1, 2, 3, 4, 5, 6, 8, 12}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Answer:
0.00597
Step-by-step explanation:
Given,
Total number of cards = 52,
In which flush cards = 20,
Also, the number of spade flush cards = 5,
Since,
Thus, the probability of a hand containing a spade flush, if each player has 5 cards
= 0.00597
Given:
To find:
The arithmetic sequence using a Recursive Formula.
Solution:
We have,
...(i)
The explicit formula of an AP is
...(ii)
where, a₁ is first term and d is common difference.
From (i) and (ii), we get
Now, the recursive formula of an AP is
Putting d=2, we get
Therefore, the arithmetic sequence using a Recursive Formula is defined as , where n>2 and .
The arithmetic sequence given by the recursive formula is an = -5 + 2(n - 1). Each term in the sequence can be found by substituting the corresponding value of n into the formula.
An arithmetic sequence is a sequence of numbers in which the difference between two consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is given as an = -5 + 2(n - 1).
To find any term in the sequence, substitute the value of n into the formula. For example, to find the first term (a1), plug-in n = 1. The formula becomes a1 = -5 + 2(1 - 1) which simplifies to a1 = -5.
Similarly, to find the second term (a2), plug-in n = 2. The formula becomes a2 = -5 + 2(2 - 1) which simplifies to a2 = -3. Continuing this pattern, each term in the sequence can be found by substituting the corresponding value of n into the formula.
#SPJ3
Answer:
C
Step-by-step explanation:
given that x and y are proportional then the equation relating them is
y = rx ← r is the constant of proportionality
to find r, substitute x = 3 and y = 9 into the equation
9 = 3r ( divide both sides by 3 )
3 = r
the constant of proportionality is r = 3