Aliyah plays an online learning game where she earns 10 stars for each question she answers correctly. When Aliyah
finishes playing the game, she has a total of 570 stars.
Write an equation for this arithmetic sequence in the form an = a, + d(n-1) that can be used to model the number
of stars Aliyah ears when she answers n questions correctly.

CASE I:

CASE II:

Step-by-step explanation:

CASE I: We start counting when Aliyah starts the game.

For the first question she answers Aliyah earns 10 points; therefore,

.

And for every additional nth answer, Aliyah earns 10 additional points; therefore,

.

CASE II: We start counting after Aliyah finishes the first game.

In which case

and therefore,

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.