Mon Prof Augmenté
Two Ways to Grow
Age 16 · Maths
In an arithmetic sequence, each step adds the same fixed amount, so values grow in a straight line. In a geometric sequence, each step multiplies by the same factor, so values grow faster and faster.
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Age 16: open this week
Browse Age 16
In the picture
- The first rod in the front row: the starting height.
- The last rod in the front row: the height reached by equal fixed additions.
- The first rod in the back row: the starting height matching the front row.
- The last rod in the back row: the height reached by repeated doubling.
Examples
- Saving $10 more each week
- A population doubling every year
Key takeaways
- Arithmetic change adds a constant amount; geometric change multiplies by a constant factor.
- Geometric growth overtakes arithmetic growth when the factor is greater than 1.
Quiz: Two Ways to Grow (Age 16)
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Which change describes an arithmetic sequence?
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Which change describes a geometric sequence?
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When does geometric growth overtake arithmetic growth?
The answers, each with its explanation, are in the app. This lesson has left the free week, so its quiz is part of the subscription.
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