4. Find a closed formula for the following k 3k k=1 by representing it as an iterated sum. 1. Show that the formula neA n takes on the same logical value as -(y V ), for each assignment of logical values to the statements e and . Show that the formula o V u takes on the same logical value as -(y A), for each assignment of logical values to the statements p and .
1.- Determine whether the series is convergent or divergent. If possible, find its sum. η2η (a) 5η-1 n=1 (-1)* (b) Σ k+1 k=1 (c) Σ(1-4)* (d) (a) Σ k! (3k)* k=1
find sum
995 (-1)* Σ C, 1991 – k k k = 0 1991 - k
Find the sum. 4 Σ 8 j = 1 4 Σ 8 j = 1 (Simplify your answer. Type an integer or a fraction.)
7) Find a formula for k=(3k – 1).
Find the sum Σ, (3: +1)
4. [5] Find a formula for the nth partial sum Sn of the series, as is done in Example 8 of chapter 11.2. Then, find the sum of the series or show that it diverges. Lk2 + 3k + 2 k=1
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...
3K aAinite Joad 2 K 2K 20 K dl -8V
Find the interval and radius of convergence of the power series (x + 1)k 3k 22 k-1