Warren is writing a poem. He writes 4 words on the first line, 8 words on the second line, 16 words on the third line, and 32 words on the fourth line. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. Warren is writing a poem. He writes 4 words on the first line, 8 words on the second line, 16 words on the third line, and 32 words on the fourth line. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Identify Pattern: Identify the pattern in the sequence.Warren writes 4 words on the first line, 8 words on the second line, 16 words on the third line, and 32 words on the fourth line. To determine the type of sequence, we need to look at the relationship between consecutive terms.
Check Arithmetic: Check if the sequence is arithmetic.In an arithmetic sequence, the difference between consecutive terms is constant. Let's check the differences:8−4=416−8=832−16=16The differences are not constant, so the sequence is not arithmetic.
Check Geometric: Check if the sequence is geometric.In a geometric sequence, the ratio between consecutive terms is constant. Let's check the ratios:48=2816=21632=2The ratios are constant, so the sequence is geometric.
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