Mathematics: 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.

3. Step-by-step explanation:...

Aliyah plays an online learning game where she

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20.01.2022

CASE I:

a_1 = 10

a_n =a_1+10(n-1)

CASE II:

a_1 = 570

a_n =a_1+10(n-1)

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,

a_1 = 10 .

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

a_n = a_1+10(n-1)

$\boxed{a_n =10+10(n-1)}$ .

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

In which case

a_1 = 570

and therefore,

$\boxed{a_n = 570+10(n-1)}$

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