Understanding Sequences

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Math › Understanding Sequences

Questions 1 - 1

Consider the Fibonacci sequence written below. What are the next three terms?

$\small 1,\1,\ 2,\ 3,\ 5,\ 8,\ 13,...$

$21,\ 34,\ 55$

$18, \23,\ 28$

$16,\ 21,\ 24$

$14,\ 17 ,\ 22$

$21,\ 55,\ 63$

Each number in the Fibonacci sequence can be calculated by the sum of the previous two numbers.

$x_n=x_{n-1}+x_{n-2}$

The next term in the sequence will be the sum of the two terms preceding it: 8 and 13.

$\small 1,\1,\ 2,\ 3,\ 5,\ 8,\ 13,\ 21...$

The next term will be the sum of 13 and 21.

$\small 1,\1,\ 2,\ 3,\ 5,\ 8,\ 13,\ 21,\ 34...$

The next term will be the sum of 21 and 34.

$\small 1,\1,\ 2,\ 3,\ 5,\ 8,\ 13,\ 21,\ 34,\ 55...$