Question

Given the following sequences state the next number 1, 18, 16, 32 ____

Answer 1

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 $t_{n}$=$(17-n)^2$, 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, $t_{5}$=$(17-5)^2$ which is the same as $13^2$, so the 5th term is 169.