1fully worked

Write the next term: $5,\ 8,\ 11,\ 14,\ \ldots$

1difference $=8-5=3$Common difference $=$ next $-$ this

2next term $=14+3=17$Add it on to get the next term

Check - How do you find the common difference?

A subtract a term from the next termB add the first two termsC multiply consecutive termsD count the terms

2fully worked

Write the next term: $2,\ 9,\ 16,\ 23,\ \ldots$

1difference $=9-2=7$Common difference $=$ next $-$ this

2next term $=23+7=30$Add it on to get the next term

Check - What is the term-to-term rule here?

A add $9$B add $7$C multiply by $2$D add $2$

3you finish it

Write the next term: $20,\ 17,\ 14,\ 11,\ \ldots$

1difference $=17-20=-3$Common difference $=$ next $-$ this

2Add it on to get the next term

Check - Why is the difference negative?

A a mistake – differences are always positiveB the sequence is DECREASING, so you subtract each timeC because $20$ is evenD the terms are getting bigger

4you do it all

Write the next term: $4,\ 10,\ 16,\ 22,\ \ldots$

1Common difference $=$ next $-$ this

2Add it on to get the next term

Check - What would the term AFTER that be?

A $34$B $28$C $30$D $26$