What are the next two terms in the sequence 1, 8, 27, 64..., written as coordinate pairs (n, an)?
A) (5, 75), (6,86)
B) (5, 81), (6,100)
C)(5, 125), (6, 216)
D) (125, 5), (216, 6)

C)(5, 125), (6, 216)

Step-by-step explanation:

Well firstly, there's no actual way to know. There could be anything there, as for any n pairs (x, y) with distinct x-s, there exists a (n-1 or less)-degree polynomial that models them perfectly, and infinitely many polynomials of degree n (or more).

If we input those terms to a polynomial interpolator, we'll get an answer every time.

With this one, it will be the right answer though!

But to be serious, let's find out what the numbers are. We can notice they're all cubic numbers.

There's 1, which is 1^3, then theres 2^3, then it's 3^3, then 4^3.

It's reasonable to expect that we are expected to assume (x, x^3) is the rule.

We can see that the answer C (5, 5^3), (6, 6^3) fits this narrative.

ab will be equal to

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event