Which function represents the sequence: 4, 7, 10, 13,

3n + 1

Step-by-step explanation:

Note the sequence has a common difference between consecutive terms, that is

7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

This indicates that the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 4 and d = 3, thus

= 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1

Step-by-step explanation:

It's an arithmetic sequence:

An explicit formula of an arithmetic sequence:

d - common difference

We have

Substitute:

           use the distributive property

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation

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