-This is what we call an infinite series. A sum can be found if the series is convergent ie. all the terms add up to approach a certain value. This happens when the terms are continuously decreasing so we can expect them to become zero as the number of terms approach infinity.
The general term for this series is 1/4^n-1.
So we can see that for n=infinity, the general term equals 1/infinity which is zero ie. the given series is convergent and we can find a sum of its terms.
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The answer is Letter D- 4/3
-This is what we call an infinite series. A sum can be found if the series is convergent ie. all the terms add up to approach a certain value. This happens when the terms are continuously decreasing so we can expect them to become zero as the number of terms approach infinity.
The general term for this series is 1/4^n-1.
So we can see that for n=infinity, the general term equals 1/infinity which is zero ie. the given series is convergent and we can find a sum of its terms.
S=1+1/4+1/16+….infinity
=1/(1-1/4)
=4/3
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