Question: Identify whether the following statement is true or false. Choose the correct answer below. If the first two terms of a geometric sequence are negative,
Identify whether the following statement is true or false. Choose the correct answer below.
If the first two terms of a geometric sequence are negative, then so is the third.
(A) False; if the first and second terms of the sequence are negative, then a1 will be negative but the common ratio will be positive sine the negatives will cancel each other out.
(B) True; if the first and second terms of the sequence are negative, then a1 will be negative but the common ratio will be positive since the negatives will cancel each other out.
(C) True; if the first and second terms of the sequence are negative, then a1 will be positive but the common ratio will be negative since the negatives will not cancel each other out.
(D) False; if the first and second terms of the sequence are negative, then a1 will be positive and the common ratio will be positive since the negatives will cancel each other out.
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