EXAMPLE 5 Finding the Number of Terms Determine the number of terms required to approximate the sum of the series with an error of less than 0.001 1n Solution By Theorem 9.15. you know that For an error of less than 0.001. N must satisfy the inequality 1/(N+1 1000 > N>V1000-1-4.6 So, you will need at least 5 terms. Using 5 terms, the sum is SS0.94754, which has an error of less than 0.001