Arithmetic Sequences Word Problems

Find the common difference: 1, 201, 401, 601, ...

• d = 100

• d = 101

• d = 200

• d = 201

Yeezy is trying to become an influencer on Instagram. After the first month, Yeezy will have 30,000 followers. Every month after the first, he gains 1,250 more followers. How many followers will Yeezy have after 6 months? _

Yeezy is trying to become an influencer on Instagram. After the first month, Yeezy will have 30,000 followers. Every month after the first, he gains 1,250 more followers. Yeezy wants to be an influencer for Nike, but he needs to have 100,000 Instagram followers before Nike will partner with him. How many months will it take him to have enough followers to become an influencer for Nike? _ months

Estephanie just passed her road test and got her driver’s license. She works at a movie theater part-time after school and wants to save up to buy her own car. On the first week, she saves $360 from her paycheck and then each week after, she saves $200 of her paycheck for her new car. How much money will Estephanie have saved after 12 weeks?

• 315

• 330

• 345

• 360

Trevor is volunteering with an organization called Rock the Vote to help members of his community register to vote. On the first day, Trevor’s team helped 26 community members register and pledge to vote in the upcoming election. Every day after the first, they help 3 more people register and pledge to vote. How many community members will be registered to vote after 25 days?

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

Find the 25th term of the sequence if t₁ = 5 and d = 0.5

[hint: write an explicit formula first, then find the 25th term!]

• 18

• 17

• 15

• 14

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25