Use the following information. In an ancient Chinese...

Name: Problem 54, Chapter 4: Prealgebra
Uploaded: 2020-06-02T02:11:05-08:00
Duration: 1 min 51 s
Channel: Julie Silva
Description: Use the following information. In an ancient Chinese tradition, a chef stretches and folds dough to make long, thin noodles called so. After the first fold, he makes 2 noodles. He stretches and folds it a second time to make 4 noodles. Each time he repeats this process, the number of noodles doubles. Legendary chefs have completed as many as thirteen folds. How many noodles is this?

Use the following information. In an ancient Chinese tradition, a chef stretches and folds dough to make long, thin noodles called so. After the first fold, he makes 2 noodles. He stretches and folds it a second time to make 4 noodles. Each time he repeats this process, the number of noodles doubles. Legendary chefs have completed as many as thirteen folds. How many noodles is this?

Use the following information.
In an ancient Chinese tradition, a chef stretches and folds dough to make long, thin noodles called so. After the first fold, he makes 2 noodles. He stretches and folds it a second time to make 4 noodles. Each time he repeats this process, the number of noodles doubles.
Legendary chefs have completed as many as thirteen folds. How many noodles is this?

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Key Concepts

Geometric Sequences

A geometric sequence is a sequence where each term is found by multiplying the previous term by a constant factor, known as the common ratio. The process of doubling at each fold is a geometric sequence with a common ratio of 2, and the total after a given number of folds can be calculated using the formula for the nth term of a geometric sequence.

Exponential Growth

Exponential growth describes an increase where the quantity multiplies by a constant factor over equal intervals. In this context, each fold doubles the number of items, so the growth is not linear but exponential, meaning the total increases very quickly after several folds.

Exponents

Exponents are a mathematical way to express repeated multiplication of a number by itself. When a base number is raised to an exponent, it represents multiplying the base by itself as many times as indicated by the exponent. Here, after n folds, the number of items can be expressed as 2 raised to the power n.

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