Scelta multipla
Identify if each sequence is arithmetic, geometric, or neither.
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15. Sequences, Series, and the Binomial Theorem
Geometric Sequences
Scelta multipla
Write the first four terms of the following geometric sequence.
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Identify the first term of the geometric sequence, which is given as \(a_1 = -8\).
Note the common ratio \(r = -\frac{1}{2}\), which means each term is obtained by multiplying the previous term by \(-\frac{1}{2}\).
Find the second term by multiplying the first term by the common ratio: \(a_2 = a_1 \times r = -8 \times \left(-\frac{1}{2}\right)\).
Find the third term by multiplying the second term by the common ratio: \(a_3 = a_2 \times r\).
Find the fourth term by multiplying the third term by the common ratio: \(a_4 = a_3 \times r\).
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