3) .  Calculate the first three partial sums of the series. ∞     n = 1 1 (n + 4)(n + 5)  Hint: Use a partial fraction decomposition like that for

Find the first 10 partial sums of the series. (Round your answers to five decimal places.) 4n² 2 n² + 1 n 1 2 3 4 5 6 7 8 9 10 n = 1 0.66667 X 3.46667 X Graph both the sequence of terms and the sequence of partial sums on the same screen. Is the series convergent or divergent? If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.) If it is divergent, explain why. The terms of the series do not approach 0. O The sequence of partial sums is divergent. O The series is convergent.

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Write the first five terms of the sequence of partial sums. 1 + = + = = =+ = + 12 + 16 Select one: O a. 1. O b. * Ос O d. O e. 1, 1, 7 4 2 5 49 205 5269 1,4 36 144¹ 3600 5 6 7 " 25 45 50 105 32 33 64 55 36 16 25 ? 215 53 144 36 49 205 5269 32 132' 3200