Checking if the sequence is an arithmetic sequence
7 - 1 = 6
13 – 7 = 6
Therefore the sequence is arithmetic, with a_0 = 1 and d = 6
a_n = a_0 + (n-1)d
a_30 = 1 + (29)(6)
= 175
Therefore the 30th term is 175.
He declared that he could show the people "150 loft buildings far worse than" the Asch Building.
57,682
I got this by putting the numbers in their place
Part A)The given equation is:

The radicand or discriminant(d) of the equation will be:

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)The given equation is:

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
Answer:
n > p + 1 + 7k
Step-by-step explanation:
21k - 3n + 9 > 3p + 12
21k - 3n > 3p + 12 - 9
3n > 3p + 3
3n > 3p + 3 + 21k
n > (3p + 3 + 21k)/3
n > p + 1 + 7k