Chapter 1.1, Problem 1LC

Solution

Describe a rule for each pattern:

  $35,70,105,\mathrm{140...}$

The rule for each pattern is $+35$ .

Given information:

The given pattern is:

  $35,70,105,\mathrm{140...}$

Explanation:

In the given sequence, the difference between the first and the second term is as follows:

  $70-35=35$

The difference between the third and the second term is:

  $105-70=35$

The set of the numbers in the given pattern have a common difference of $35$ .

To obtain the next number in the given sequence, we have to add $35$

to the preceding number:

Hence, the rule will be:

  $+35$