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MTEL Math (Elem) (53) Practice Tests & Test Prep by Exam Edge


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MTEL Mathematics (Elementary) Sample Test

1 of 5

What is the sum of the infinite geometric series Xn , given by  Xn = 16, 4, 1, 1/4, ...?





Correct Answer:
21 1/3

first, determine the common ratio r of the geometric sequence to determine if the sum is finite (|r| < 1) or infinite (|r| > 1). since r is 1/4 , the sum is finite and may be found by using the formula b1/(1-r).

16/(1 - 1/4) = 16/(3/4) = 16(4/3) = 64/3 = 21 1/3


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