The Test for Divergence for infinite series (also called the \"n-th term test for divergence of a series\") says that: lm an % 0 2} Z on diverges n=1 n>OO Notice that this test tells us nothing about 2 on if rm can : l]; art>00 n=1 in that situation the series might converge or it might diverge. 2n 5 Consider the series \":0: 1m 11 The Test for Divergence tells us that this series: 0 diverges o converges 0 might converge or might diverge Use the geometric series formula 00 = Z 3;" to express the T321] function as a Series: \"22% 1:r: 00 Use the geometric series formula : 2 y\" to express the 13:!) function as a series: 1._SM =: : Suppose that an = - 1 and bn = - 2 and a1 = - 3 and n=1 n =1 b1 = 4 , find the sum of the series: A. (7an + - 4bn) = n=1 B. E (7an + - 4bn) = n = 2Given the series: 65 845 10985 5 + f ... 2 4 8 does this series converge or diverge? o converges o diverges If the series converges, find the sum of the series: 65 845 10985 5 + . . . E 2 4Given the series: K 7 10 k=0 does this series converge or diverge? o diverges o converges If the series converges, find the sum of the series: 7 9 . 10 k=0