Question
1)
2)
3)
4)
The first several terms of a sequence {an} arc given. Assume that the pattern continues as indicated and find an explicit formula for an. 3/4, 31/32, 255/256, 2047/2048, 16383/16384,... an = 8n + 2/8n, an = 8(n +1)/8n+2, an = 8n - 2/8(n+1), an = 8n - 2/8n, an = 8n + 2/8n+2 State whether the sequence converges and, if it does, find the limit ln(9n/n+1) converges to 2 diverges converges to ln(9) converges to 1 converges to ln(9/2) Give the first six terms of the sequence and then give the nth term. a1 = 7; a2 = 9; an+1 =2an-an-1, n ge 2. a1 = 7, a2 = 9, a3 = 11, a4 = 13, a5 = 15, a6 = 17; an = 2n + 9 a1 = 8, a2 = 10, a3 = 12, a4 = 14, a5 = 16, a6 = 18; an = 2n + 5 a1 = 9, a2 = 11, a3 = 13, a4 = 15, a5 = 17, a6 = 19; an = 3n + 4 a1 = 7, a2 = 9, a3 = 11, a4 = 13, a5 = 15, a6 = 17; an = 3n + 4 a1 = 7, a2 = 9, a3 = 11, a4 = 13, a5 = 15, a6 = 17; an = 2n + 5 Determine the boundedness and monotonicity of the sequence with an as indicated. an = (n + 9)2/n2 nonincreasing; bounded above by 100 but not bounded below. nondecreasing; bounded below by 1 and above by 100 decreasing; bounded below by 1 but not bounded above. decreasing; bounded below by 1 and above by 100 decreasing; bounded above by 100 but not bounded below.
Explanation / Answer
1-d
2-e
3-e
4-c
