Dec 22, 2020 · Convergent Sequence. A sequence is said to be convergent if it approaches some limit (D'Angelo and West 2000, p. 259). ... Online Integral Calculator » ... Mar 22, 2018 · For problems 5 – 7 assume that the \(n\) th term in the sequence of partial sums for the series \( \displaystyle \sum\limits_{n = 0}^\infty {{a_n}} \) is given below. Determine if the series \( \displaystyle \sum\limits_{n = 0}^\infty {{a_n}} \) is convergent or divergent. If the series is convergent determine the value of the series. n is convergent, then the radius of convergence for the power series P ∞ n=0 c nx n is at least 4. Therefore the interval of convergence contains -2. (b) X∞ n=0 c n(−4)n No. Consider the power series X∞ n=0 (−1)n xn 4nn. Then the series converges for x = 4, because in that case it is the alternating harmonic series, but the series If your calculator doesn’t have this feature, you can perform the same operation by summing up a sequence: Press 2nd STAT ◀ to reach the List MATH menu, 5 to select sum, then select the seq function as above. Press ENTER to evaluate.