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Christina is writing a poem. She writes words on the first line, words on the second line, words on the third line, and words on the fourth line. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Full solution
Q. Christina is writing a poem. She writes words on the first line, words on the second line, words on the third line, and 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 number of words Christina writes on each line.Christina writes words on each line for four lines. This means the sequence is .
- Determine Sequence Type: Determine the type of sequence.An arithmetic sequence is a sequence of numbers where each term after the first is found by adding a constant, called the common difference, to the previous term. A geometric sequence is a sequence where each term after the first is found by multiplying the previous term by a constant, called the common ratio.Since the number of words per line does not change and there is no common difference or common ratio that is being added or multiplied, this sequence is neither arithmetic nor geometric.
