let's continue with question 5.
5. Use number sentences to describe the rule and the n term of the following patterns.
- c) 5; 9; 13; 17; ...; n
- Step 1: Determine the rule.
The difference between consecutive terms is 9−5=4, 13−9=4. The rule is to add 4 to the previous term.
- Step 2: Find the n-th term.
This is an arithmetic sequence with first term a1=5 and common difference d=4.
The formula for the n-th term is Tn=a1+(n−1)d.
Tn=5+(n−1)4
Tn=5+4n−4
Tn=4n + 1
Looks like that's the last question on this page! Send me the next one 📸