Examples of Mathematical Sequences

The sequence

has the property that you multiply the previous number by $2$ to find the next number:

$1\cdot 2=2$, the first number of the sequence multiplied by $2$ is the second number of the sequence.

$2\cdot 2=4$, the second number of the sequence multiplied by $2$ is the third number of the sequence.

$4\cdot 2=8$, the third number of the sequence multiplied by $2$ is the fourth number of the sequence.

$8\cdot 2=16$, the fourth number of the sequence multiplied by $2$ is the fifth number of the sequence.

$16\cdot 2=32$, the fifth number of the sequence multiplied by $2$ is the sixth number of the sequence.

The sequence

has the property that $5$ is subtracted from the previous number in the sequence to get the next number in the sequence:

$40-5=35$, the first number of the sequence minus $5$ is the second number of the sequence.

$35-5=30$, the second number of the sequence minus $5$ is the third number of the sequence.

$30-5=25$, the third number of the sequence minus $5$ is the fourth number of the sequence.

$25-5=20$, the fourth number of the sequence minus $5$ is the fifth number of the sequence.

$20-5=15$, the fifth number of the sequence minus $5$ is the sixth number of the sequence.