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Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18
Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term
First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5
Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8
y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13
The value of x is 8, the value of y is 13
In order to determine the probability that the coin chosen is a dime, determine first the total number of sample coins. In this problem, there are 52 coins all in all. Next, divide the number of dimes in the sample with the total number of coins. This gives us 10/52. Simplifying the fraction further yields to 5/26. Thus, the probability that the coin chosen is dime is 5/26. The answer is letter c.
A. 6xy(2x^2y^2-4xy^2)
If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.
You will get 12x^3y^3-24x^2y^3.
b. Factorization is not complete because 6xy is not the greatest common factor.
c. Complete factor: 12x^2y^3(x-2y).
Fourteen times two equals twenty-eight, because twenty-eight divided by two equals fourteen
