is it 6/27 or 8/27 ?

if it is 8/27 then those two methods should give the same answer.

Former one is very easy to apply.

if it is 8/27 then those two methods should give the same answer.

Former one is very easy to apply.

Awesome q2a theme

0 votes

Finding the sum of the following series leads to two different answers with two different methods.

The series is listed as: 1+2/3 + 4/9 + 6/27 + …. (infinity)

Method 1: Directly apply the formula--> Sum=a/(1-r), with a=1 and r=2/3. Here, we get the answer as sum=3.

Method 2: First, simplify the series

S= 1+2/3 + 4/9 + 6/27 + …. (infinity) …….(1)

3S = 3+2+ 4/3 + 6/9 + …...(infinity) . ……..(2)

Subtracting (1) from (2) and solving further, we will get S=2.5

Kindly tell which method is correct.

The series is listed as: 1+2/3 + 4/9 + 6/27 + …. (infinity)

Method 1: Directly apply the formula--> Sum=a/(1-r), with a=1 and r=2/3. Here, we get the answer as sum=3.

Method 2: First, simplify the series

S= 1+2/3 + 4/9 + 6/27 + …. (infinity) …….(1)

3S = 3+2+ 4/3 + 6/9 + …...(infinity) . ……..(2)

Subtracting (1) from (2) and solving further, we will get S=2.5

Kindly tell which method is correct.

+1

is it 6/27 or 8/27 ?

if it is 8/27 then those two methods should give the same answer.

Former one is very easy to apply.

if it is 8/27 then those two methods should give the same answer.

Former one is very easy to apply.

0

The actual series is 1+2/3 + 4/9 + 6/27 + 8/81 …. (infinity)

Thanks a lot, I got to know where I was wrong

Thanks a lot, I got to know where I was wrong

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