A. Write the first four terms of the series.
1 answer:
Step-by-step explanation:
a. The first four terms are:
-4 (⅓)¹⁻¹ = -4
-4 (⅓)²⁻¹ = -4/3
-4 (⅓)³⁻¹ = -4/9
-4 (⅓)⁴⁻¹ = -4/27
b. This is a geometric series. Since the absolute value of the common ratio is less than 1 (|⅓| < 1), the series converges.
c. The series converges to the sum of:
S = a₁ / (1 − r)
S = -4 / (1 − ⅓)
S = -6
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