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The infinite sum 2 + 2/5 + 2/25 + 2/125 + ....., is:
  1. 5/2
  2. 5/3
  3. 5/4
  4. none of these
Explanation

∑i=02⋅(15)i=2.5

Explanation:

General formula for an infinite geometric series sum a+(a⋅r)+(a⋅r2)+(a⋅r3)+... with |r|<1 is
XXXa1−r

For the given series a=2 and r=15
So the sum is
XXX21−15=2(45)=2⋅54=212

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