Find the sum of the convergent series. 3 Σ()" - n = 0 4 1 (n + 1)(n + 2).

(-1)^ + 1 The series 2 is a convergent series. n = 1 (n³)(2") a. Approximate the sum of this series using its first 4 terms. b. What is the error in this approximation? c. Give the smallest interval in which the exact sum must lie.

Oscar is working with a geometric series generated by the equation A (n) = 4(1.2)" . Oscar's friend has challenged him to find the sum of the 24th through 40th terms of the series. Help Oscar by finding this value. Explain your reasoning and show your work below. 31 4(1.2)" =En , 4(1.2)"- ! %3D 4(1.2)" -1 29375.43 - 1304.95 = 28070.5 %3D 40 23 n 24 4(1.2)" 1 - n-1 4(1.2)"-1 4(1.2)"-1 1304.95 - 29375.43 -28070.5 n 21 4(1.2)"-1 (1-1.2") 29375.43 %3D 1-1.2 ΟΣ. O 4(1.2)"-1- 4(1.2)"-1 + E04(1.2)" 1 4(1.2)" 1 + E 1 4(1.2)"-1 1304.95 + 29375.43 = 30680.38 %3D %3D %3D 1 3 4 6 7 9. 10 国Review 8. 5 2.

determine if the series converges or diverges

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