1 ) For each sequence, find an explicit rule, an =. Assume each sequence starts with a2. ( a) - 1/2 3, 13/ 2 , 10 ... ( 6 ) 72 /4, 1/2, 72/2, 1, 72. ( C ) - 3 , 2 , 11 , 24 2 ) a ) For an arithmetic sequence w/ 91 = 4 x 8 96 = - 16 find Sez in terms of X b ) Find expressions for a, and d for the arithmetic Sequence, with as = w and as Ev in terms of we V. Simplify your expressions completely () Find K then ay for an arithmetic sequence if a= k- 7 d= 31-2, and Que 57 A If S ( 2 K X - 6 ) = 236, find x 3 ) a ) If a, = - 10 and f= a.I, which term in the geometric Sequence is - 10-20 ? b ) For the geometric sequence x, 4 x 2, 16 x3 ,..., if ay= - 1/4 , find the value of X C ) Find the sum of the infinite geometric series 80- 8 + 0 8 -.. if it exists Find the exact value of 00 () if it exists. Justify whether the series k 2 converges or diverges. e ) write an expression in terms of x and y for 3 (xk with out sigma notation . " ) A virus is down loaded on a computer and begins to infect flies in the hard drive . 10 flies are initially infected and the # of newly infected flies triples each minute write an ean using the variable in that represents the total # of tries infected after in minutes