12 General U3 T3 Growth and Decay ST1 Arithmetic Sequences

12 General U3 T3 Growth and Decay ST1 Arithmetic Sequences

11th Grade - University

8 Qs

quiz-placeholder

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12 General U3 T3 Growth and Decay ST1 Arithmetic Sequences

12 General U3 T3 Growth and Decay ST1 Arithmetic Sequences

Assessment

Quiz

Mathematics

11th Grade - University

Medium

Created by

Jessica James

Used 4+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the sequence 4, 2, 0, –2, –4 ... the common difference is

4

2

-2

-4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

BONUS QUESTION: Is there a common difference is this sequence: 1, 3, 9, 27.

3

No

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Question 1. A sequence is defined by 𝑎n= 𝑎n₋₁ + 14

Given that 𝑎4 = 56, the value of 𝑎₂ is

14

28

42

70

4.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Exhibition organisers believe that the number of attendees increases each day as an arithmetic sequence. The organisers know that 353 people attended the first day and 439 people attended the third day.

A) Determine the common difference.

5.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Exhibition organisers believe that the number of attendees increases each day as an arithmetic sequence. The organisers know that 353 people attended the first day and 439 people attended the third day. The common difference is 43.

Predict the number of people who will attend the sixth day.

6.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

A sequence has been defined as 𝑡n+1 = 𝑡n + 4, 𝑡₁ = 5

Calculate the 27th term.

7.

FILL IN THE BLANK QUESTION

10 mins • 1 pt

(P2) A water tank contains 12 500 L of water. The tap is accidentally left on and the tank loses 135 L per minute. The tap is turned off when the tank has 5000 L of water left.

Use a mathematical model to determine how long the tap was left on to the nearest minute. (don't enter units)

8.

FILL IN THE BLANK QUESTION

15 mins • 1 pt

(P2) In 2011, Chris was earning a salary of $67 500. Chris receives the same pay increase each year and in 2018 was earning a salary of $84 300. In 2015, Sam was earning a salary of $79 500. Sam receives the same pay increase each year and in 2019 was earning a salary of $87 900. Determine when Chris will earn more than Sam.