5
ALMultiple Choice

Geometric Sequences and Series

Question 5 • EA Pre-Calculus Credit Recovery

Which of the following is the missing term of the geometric sequence in which a1= 2 and a3 = 200?

Answer
A
400
B
101
C
100
D
20

Explanation

For a geometric sequence, a3 = a1 × r², where r is the common ratio. Thus 200 = 2 × r², so r² = 100 and the ratio can be 10 or −10. The matching choice is 20, obtained with a ratio of 10.

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