Marie sent 12 pieces of mail in October, 48 pieces of mail in November, 192 pieces of mail in December, and 768 pieces of mail in January. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. Marie sent 12 pieces of mail in October, 48 pieces of mail in November, 192 pieces of mail in December, and 768 pieces of mail in January. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
List Mail Sent: List the number of pieces of mail sent by Marie in each month.October: 12November: 48December: 192January: 768Sequence: 12,48,192,768
Check Arithmetic: Determine if the sequence is arithmetic by checking if the differences between consecutive terms are equal.Difference between November and October: 48−12=36Difference between December and November: 192−48=144Difference between January and December: 768−192=576Check if the differences are equal: 36=144=576The differences are not equal, so the sequence is not arithmetic.
Check Geometric: Determine if the sequence is geometric by checking if the ratios between consecutive terms are equal.Ratio of November to October: 1248=4Ratio of December to November: 48192=4Ratio of January to December: 192768=4Check if the ratios are equal: 4=4=4The ratios are equal, so the sequence is geometric.
More problems from Identify arithmetic and geometric sequences