The first term in a geometric sequence is -14 The common ratio is ½ What is the 4th term in the sequence for which a1 30 and r 1 2?

In a geometric sequence, the nth term can be calculated using the formula ( a_n = a_1 \cdot r^{(n-1)} ). Given that the first term ( a_1 = -14 ) and the common ratio ( r = \frac{1}{2} ), the 4th term is calculated as follows:

[ a_4 = -14 \cdot \left(\frac{1}{2}\right)^{3} = -14 \cdot \frac{1}{8} = -\frac{14}{8} = -\frac{7}{4}. ]

Thus, the 4th term in the sequence is (-\frac{7}{4}).