Last year, Winchester Hardware ordered 6 hammers in September, 30 hammers in October, 150 hammers in November, and 750 hammers in December. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. Last year, Winchester Hardware ordered 6 hammers in September, 30 hammers in October, 150 hammers in November, and 750 hammers in December. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Identify Pattern: Identify the pattern in the sequence of hammers ordered by Winchester Hardware.September: 6 hammersOctober: 30 hammersNovember: 150 hammersDecember: 750 hammersWe need to determine if the sequence is arithmetic (where each term after the first is obtained by adding a constant), geometric (where each term after the first is obtained by multiplying the previous term by a constant), or neither.
Check Arithmetic Sequence: Check for an arithmetic sequence by finding the difference between consecutive terms.Difference between October and September: 30−6=24Difference between November and October: 150−30=120Difference between December and November: 750−150=600The differences are not constant, so this is not an arithmetic sequence.
Check Geometric Sequence: Check for a geometric sequence by finding the ratio between consecutive terms.Ratio between October and September: 630=5Ratio between November and October: 30150=5Ratio between December and November: 150750=5The ratios are constant, so this is a geometric sequence.
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