Shawna is writing a poem. She writes 28 words on the first line, 24 words on the second line, 20 words on the third line, and 16 words on the fourth line. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. Shawna is writing a poem. She writes 28 words on the first line, 24 words on the second line, 20 words on the third line, and 16 words on the fourth line. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Identify sequence type: To determine the type of sequence, we need to look at the difference or ratio between consecutive terms.
Calculate first difference: Let's calculate the difference between the first and second line: 28−24=4.
Calculate second difference: Now, calculate the difference between the second and third line: 24−20=4.
Calculate third difference: Next, calculate the difference between the third and fourth line: 20−16=4.
Conclude arithmetic sequence: Since the difference between consecutive lines is constant, we can conclude that the sequence is an arithmetic sequence.
More problems from Identify arithmetic and geometric sequences