Question

The eighth term of a linear sequence is 26. The term-to-term rule is 'add 3! Work out the fourth term of the sequence. Explain the method you used to solve this problem.​

Answer 1

Answer:

14

Step-by-step explanation:

First, What is a Linear Sequence - A number pattern which increases (or decreases) by the same amount each time is called a linear sequence.

Here 26 is the 8th term. And the term to term rule is to add 3.

Before going further, let's take a example.

Term to term rule is add 5

1st term is 0.

So, what is the 2nd term - it is 5 right? (because 0+5) In a linear sequence to get the next term, the rule is to apply the term to term rule to the previous term.

In this question 8th term is 26. Term to term rule is add 3. But, we don't want to go forward, we want to go backward. So, add 3 will become minus 3.

So,

7th term - 26-3 = 23

6th term - 23-3 = 20

5th term - 20-3 = 17

4th term - 17-3 = 14(Whoa!! Here is your answer)

I hope this helps