Answer :
Answer:
Not sure about the 1st sequence
Second sequence: 34
Third sequence: 18
Fourth sequence: 144
Step-by-step explanation:
The second sequence is the Fibonacci sequence. You find the next term by adding to two previous terms, so you have 13+21 which is equal to 34.
The third sequence is an arithmetic sequence that has a common difference of 11. Knowing this, we can add 11 to the last term to find the next one. This gives us 7+11 which is 18
The third sequence is the square of numbers starting form 16 and decreasing by one each time. This can be written with the formula [tex]t_{n}[/tex]=[tex](17-n)^2[/tex], where n is the term of the sequence you are solving for. Since you need to solve for the fifth term of the sequence the equation becomes, [tex]t_{5}[/tex]=[tex](17-5)^2[/tex] which is the same as [tex]13^2[/tex], so the 5th term is 169.