Question

Here is a rule to make a list of numbers: Each number is the sum of the previous 2 numbers. Start with the numbers 0 and 1, then follow the rule to build a sequence of 10 numbers

Answer 1

Based on the rule that each number is the sum of the previous 2 numbers, the sequence of 10 numbers starting with 0 and 1 is as follows:

1, 2,   3,   5,   8,   13,   21,  34,   55,  and 89.

What is a sequence?

A sequence is a collection or succession of a series of objects or numbers in an ordered form.

In this instance, a sequence is the series of numbers obtained after adding two previous numbers together.

There are arithmetic and geometric sequences.

Data and Calculation:

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 + 34 - 55

34 + 55 = 89

Thus, the sequence of 10 numbers starting with 0 and 1 is  1, 2, 3, 5, 8, 13, 21, 34, 55, and 89.

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