Question

41/3 + 41/9 + 41/27 + ___________ up to ∞ is equal to​

Answer 1

Answer:

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Step-by-step explanation:

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MATHS

2

1/4

⋅4

1/8

.8

1/16

.16

1/32

.... is equal to

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ANSWER

Converting all bases into bases of 2 we finally need to find sum of AGP

S=

4

1

+

8

2

+

16

3

+⋯

Dividing by 2

2

S

=

8

1

+

16

2

+

32

3

+⋯

Subtracting

2

S

=

4

1

+

8

1

+

16

1

+⋯

Infinite GP

2

S

=

(1−

2

1

)

4

1

S=1 ∴ the value of the expression is 2