Question

For the following sequence: -4,9,22,35,48,61,.. what type of sequence is this?

a. Geometric
b. Arithmetic
c. Unknown
d. Random

Answer 1

The sequence -4, 9, 22, 35, 48, 61,... is an arithmetic sequence because each term is increased by 13 to obtain the next term.

Step-by-step explanation:

To determine the type of sequence given by -4, 9, 22, 35, 48, 61,..., we need to look at the differences between consecutive terms. Calculating the difference between each term, we have:

• 9 - (-4) = 13
• 22 - 9 = 13
• 35 - 22 = 13
• 48 - 35 = 13
• 61 - 48 = 13

Since each term increases by the same amount, which is 13, the sequence is an arithmetic sequence. This means the sequence follows a specific pattern where the same number is added to each term to get the next term.