MATHEMATICS
JAMB 2004 - Question 20
Mathematics 2004 JAMB Past Questions - Question 20: Find the sum of infinty of the series 1/2 ,1/6,1/18,.....
A:
B:
C:
D:
Correct Answer
B
Explanation
To find the sum of an infinite geometric series, we can use the formula:Sum = a / (1 - r)where "a" is the first term and "r" is the common ratio.In this case, the first term (a) is 1/2 and the common ratio (r) is 1/3.Plugging these values into the formula, we get:Sum = (1/2) / (1 - 1/3)Simplifying the denominator:Sum = (1/2) / (2/3)To divide by a fraction, we can multiply by its reciprocal:Sum = (1/2) * (3/2)Multiplying the numerators and denominators:Sum = 3/4Therefore, the sum of the infinite series 1/2, 1/6, 1/18, ... is 3/4.
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