The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term
The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05
The geometric series is given as:
an = 400(1.05)^(n-1)
Substitute 1 for n
a1 = 400 * (1.05)^(1-1)
Evaluate the product
a1 = 400
Substitute 2 for n
a2 = 400 * (1.05)^(2-1)
Evaluate the product
a2 = 420
Substitute 3 for n
a3 = 400 * (1.05)^(3-1)
Evaluate the product
a3 = 441
Substitute 4 for n
a4 = 400 * (1.05)^(4-1)
Evaluate the product
a4 = 463.05
Hence, the first four terms are
a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05
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Answer:
a1 = 400
a2 = 420
a3 = 441
a4 = 463
C
Step-by-step explanation:
