Final answer:
To find the sum to the indicated accuracy of a series, continue adding terms until the value of the next term is less than the indicated accuracy. The smallest possible integer representing the number of terms to be added is 4.
Step-by-step explanation:
In order to find the sum to the indicated accuracy, we need to add enough terms of the series until the remaining terms are insignificant. To determine the number of terms, we have to consider the precision or accuracy required. Let's say the indicated accuracy is 0.01. We continue adding terms of the series until the value of the next term is less than 0.01.
For example, if the series is given by 1/2 + 1/4 + 1/8 + 1/16 + ..., we continue adding terms until 1/16 (or any subsequent term) is less than 0.01. In this case, it takes 4 terms to achieve the indicated accuracy.
Therefore, the smallest possible integer representing the number of terms to be added is 4.