A pattern where something grows faster and faster by repeatedly multiplying itself by a fixed number. ๐
Exponential growth is like a snowball effect, where numbers get bigger and bigger at an increasingly rapid pace. Imagine starting with one penny and doubling it every day - by the end of a month, you'd have millions! This pattern appears everywhere in nature, technology, and finance, making it one of the most powerful and important concepts to understand. ๐ฑ
In exponential growth, you multiply the current amount by the same number repeatedly. It's like a copy machine making copies of copies - if each copy makes two more copies, you'll soon have hundreds of papers.
While the actual increases get larger, the rate stays the same. It's like having a savings account with 10% interest - the percentage doesn't change, but the actual money added grows larger each time.
The growth starts slowly but picks up incredible speed. It's like social media sharing - one person shares to 3 friends, then those 3 each share to 3 more, quickly reaching thousands.
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