Write the first four terms of the sequence {an} defined by the following recurrence relation. an+1 =23 -5; a1 =1 (2 a1 = D (Simplify your answer.) Several terms of a sequence {an} 1 are given below. n = 2 2 2 2 2' E' E' 125' 625' a. Find the next two terms of the sequence. b. Find a recurrence relation that generates the sequence. c. Find an explicit formula for the general nth term of the sequence. a. Find the next two terms of the sequence. as = D a7 = D (Simplify your answers.) Several terms of a sequence {an} 1 are given below. n = {1. 4, 16, 64, 256, ...} a. Find the next two terms of the sequence. b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the rst term of the sequence). c. Find an explicit formula for the general nth term of the sequence. E) a. The next two terms of the sequence are a6 = D and a7 = D. (Simplify your answers.) Write the terms a1, a2, a3, and a4 of the following sequence. If the sequence appears to converge, make a conjecture about its limit. If the sequence diverges, explain why. an =1+;ao=2 an+1 2 What are the next four terms of the sequence? a1: 32: 33: a4 (Simplify your answers.) Consider the formula for the following sequence. Using a calculator, make a table with at least 10 terms and determine a plausible value for the limit of the sequence or state that it does not exist. _110n1 an" 11n Select the correct choice below and, if necessary, ll in the answer box to complete your choice. A- The plausible value for the limit of the sequence is . (Type a whole number.) (:3 B. The sequence diverges. Consider the following sequence. Complete parts (a) and (b) below. jy 12 n an=11+11_ ;n=1,2,3,... 9,9 l3. a. Find the first four terms of the sequence. 31: 11.0909 a2: 11.0083 a3: 11.0008 34: 11.0001 (Type integers or decimals rounded to four decimal places as needed.) b. Based on part (a) and the gure, determine a plausible limit of the sequence. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. (E? A- A plausible limit of the sequence is lim an = T1400 Ctr B. There is no plausible limit for the sequence