Question

Choose the infinite geometric series of .15

Answer 1

(c) .15 +.0015 +.000015 +...

Explanation:

You want the sum that totals the repeating decimal fraction 0.1515...(repeating).

Series

You can add up the offered values to see which sum is correct:

(a) 1.5 + .15 +.015 +... = 1.665 +... . . . . not 0.15 repeating

(b) .15 +.15 +.15 +... = .45 +... . . . . not 0.15 repeating

(c) .15 +.0015 +.000015 +... = .151515... . . . . equal to 0.15 repeating

(d) .15 +.1500 +.150000 +... . . . . same as (b); not 0.15 repeating

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