Now, you’ll get to see sequences where you find the next number in the sequence by multiplying the previous number by another number, or subtracting a number from the previous number.
Example 1
The sequence
has the property that you multiply the previous number by to find the next number:
, the first number of the sequence multiplied by is the second number of the sequence.
, the second number of the sequence multiplied by is the third number of the sequence.
, the third number of the sequence multiplied by is the fourth number of the sequence.
, the fourth number of the sequence multiplied by is the fifth number of the sequence.
, the fifth number of the sequence multiplied by is the sixth number of the sequence.
Example 2
The sequence
has the property that is subtracted from the previous number in the sequence to get the next number in the sequence:
, the first number of the sequence minus is the second number of the sequence.
, the second number of the sequence minus is the third number of the sequence.
, the third number of the sequence minus is the fourth number of the sequence.
, the fourth number of the sequence minus is the fifth number of the sequence.
, the fifth number of the sequence minus is the sixth number of the sequence.
Think About This
Are there sequences where you find the next number by dividing by a specific number?
Yes, there are. An example of this is the sequence
The pattern here is that each number in the sequence is the previous number divided by . , the first number of the sequence divided by is the second number of the sequence.