Calculate the first four terms of the following sequence, starting with n = 1. 6 . 2n Cn = n! C = C3 = CA =Calculate the first four terms of the following sequence, starting with n = 1. O. Cn = 6+ NO +... + - n C2 = C3 = C4 =Calculate the first four terms of the following sequence, starting with n = 1. b1 = 4, b2 = 3, bn = 5bn-1 + 46n-2 b1 = b2 = b3 = b4 =Find a formula for the nth term of the following sequences: (a) 1 -1 1 T' 16 ' 81 , . . . an = (b) 8, 5, 6 8 ) . . . by = Assume a starting index of n = 1.Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on [c, co] for some constant c. If limx- f(a) exists, then the sequence an = f(n), defined for n 2 c, converges and lim an = lim f(x). Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an 4 lim an =Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an = 8 15 n3 lim an =Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. a : 6n n v49n2+7 lim an : y; 71)00 Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer. 6n2 + n+ 2 an In2 - 3 lim an =Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer. lim an : TL)OO