Linear number sequences

Question 1

In a video game, a player earns the following points on successive levels: 12, 7, 2, … The amount added each level is the same. What points will the player earn on level 8?

Accepted Answer

-23

Answer

-18

Answer

-3

Answer

2

Question 2

A baker is weighing three successive portions of dough. The portions weigh 1.2 kg, 2.7 kg, and 4.2 kg. If the same pattern keeps going, what are the weights of the fourth and fifth portions, and what is the rule for moving from one portion to the next?

Accepted Answer

5.7 kg, 7.2 kg; add 1.5 kg each step

Answer

5.6 kg, 7.1 kg; add 1.4 kg each step

Answer

5.7 kg, 7.2 kg; multiply the previous weight by 1.5

Answer

5.8 kg, 7.3 kg; add 1.6 kg each step

Question 3

In a science experiment, the temperature (in °C) recorded each hour is: 12.3, 14.0, 15.7, ... What will be the temperature after the next hour, and how would you describe the rule that relates each term to the one before it?

Accepted Answer

17.4°C; add 1.7°C each hour

Answer

16.6°C; add 0.9°C each hour

Answer

17.4°C; multiply by 1.1 each hour

Answer

15.7°C; add 1.7°C each hour

Try three questions

In a video game, a player earns the following points on successive levels: 12, 7, 2, … The amount added each level is the same. What points will the player earn on level 8?

A baker is weighing three successive portions of dough. The portions weigh 1.2 kg, 2.7 kg, and 4.2 kg. If the same pattern keeps going, what are the weights of the fourth and fifth portions, and what is the rule for moving from one portion to the next?

In a science experiment, the temperature (in °C) recorded each hour is: 12.3, 14.0, 15.7, ... What will be the temperature after the next hour, and how would you describe the rule that relates each term to the one before it?

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