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

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

The difference of two convergent series is not necessarily a convergent series.

4. (6 points) Explain how to reorder the terms of series sums to 2022. n=1 (-1)" n so that the resulting

Write the power series for (1 + x)* in terms of binomial coefficients. (1 + x)k = n = 0

Choose the true statements about a convergent series.

00 (n+2)(x – 3)" n(n +1)5" Find the values of æ for which the series >(-1)". converges.

Give an example of a series that converges by the integral test.