Megan is picking berries in the berry patch. She picks 53 berries from the first bush, 48 berries from the second bush, 43 berries from the third bush, and 38 berries from the fourth bush. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. Megan is picking berries in the berry patch. She picks 53 berries from the first bush, 48 berries from the second bush, 43 berries from the third bush, and 38 berries from the fourth bush. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Find Difference First Two: To determine the type of sequence, we need to look at the difference or ratio between consecutive terms.First, let's find the difference between the number of berries picked from the first and second bushes.Difference between first and second bush = 53−48=5
Find Difference Second Two: Now, let's find the difference between the number of berries picked from the second and third bushes.Difference between second and third bush = 48−43=5
Find Difference Third Four: Next, let's find the difference between the number of berries picked from the third and fourth bushes.Difference between third and fourth bush = 43−38=5
Conclusion: Since the difference between consecutive terms is constant, we can conclude that the sequence is an arithmetic sequence.
More problems from Identify arithmetic and geometric sequences