Question

Maria folded a piece of paper in half 6 times. How many boxes were created?

Answer 1

After folding the paper 6 times, the number of boxes created will be 64.

We are given that:

Maria folded a piece of paper in half 6 times which can be analyzed as:

When she will fold it 1 time, the number of box created will be = 2.

Then, when she will again fold it 2nd time, the number of boxes created will be = 4

Then, in the 3rd time, the number of boxes created will be = 8.

So, we get the sequence as:

2, 4, 8 ...

This is a geometric sequence.

So, we get the 6th term as:

aₙ = a rⁿ⁻¹

Here a = 2, r = 2 and n = 6

Substituting the values, we get that:

a₆ = (2) (2)⁶⁻¹

a₆ = (2) (2)⁵

a₆ = 2 × 32

a₆ = 64

Therefore, we get that, after folding the paper 6 times, the number of boxes created will be 64.

Learn more about geometric progression here:

brainly.com/question/24643676

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