Express the sum in sigma notation. 1 1 19 20 1 1 1 16 17 18 Choose the correct sigma notation of the sum. 18 A. E (-1*, k+1 k= 14 19 O B. E (-1)k1 k+1 k= 15 19 Oc. E (-1*! k= 15 19 OD. E (-1-1 k= 15
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- Consider the following sum. [(6/n)9-6/n](6/n)+... [(6n/n)9-6n/n](6/n) Find the ith term of the sum. (Let i = 1 be the first term of the sum.) Find the upper bound of the summation when written in sigma notation. Use sigma notation to write the sum.Use the infinite series representation of e^x with x=1, to write an infinite series representation for the number e. Write the answer in sigma form. Write out the first 5 terms of the series.Use sigma notation to write the Maclaurin series for the function. ln(8+x)ln(8+x). Maclaurin series +∑k=1∞
- Express the sums in Exercises 11–14 in sigma notation. The form of your answer will depend on your choice for the starting index. 11. 1 + 2 + 3 + 4 + 5 + 6 12. 1 + 4 + 9 + 16 13. 1/ 2 + 1 /4 + 1/ 8 + 1/ 16 14. 2 + 4 + 6 + 8 + 1Determine whether the series ∞ ln(3n) 3n n=1 converges or diverges. ANSWER THE EMPTY BOXES8.5.16 Determine whether the series is absolutely convergent, conditionally convergent or divergent. Sigma 4/k from k=1 to inf