Michigan State University - Diagnostic Exam

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5.5

  •   The infinite sum S = 1+0.99+(0.99)2+(0.99)3+… satisfies which condition?

    a) 1 < S < 50 b) 50 ≤ S < 150 c) 150 ≤ S < 1000
       
    d) 1000 ≤ S < ∞ e) S is infinite

Solution:

---1---- --1- S=1⋅1 - 0.99 = 0.01 = 100

Diagnostic:

If you miss this question please review infinite geometric series.

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July 15, 2008