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MATHEMATICS

JAMB 2010 - Question 21

Mathematics 2010 JAMB Past Questions - Question 21: Find the sum to infinity of the following series .0.5+0.05+0.0005+0.0005.......

Find the sum to infinity of the following series .0.5+0.05+0.0005+0.0005.......

A: 5/9

B: 5/7

C: 5/8

D: 5/11

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Correct Answer

Explanation

Sum = a/1-r 0.5,0.05,0.005, 0.0005,…a= 0.5, r = 0.05/.5 = 1/10sum = 0.5 /1-1/10 = ½ / 9/10 = 5/9