1. The terms of a sequence are given by an = n²-3. Find ay-az. (2pts)
7. The terms of a geometric sequence are given by (4 pts) an= 64 (-)n-1 what is a,? what is r What is an az?
Find the sum of the first 12 terms for the following arithmetic sequence. az = 8, 24 = 16 Determine the sum of the first 8 terms of the geometric sequence. 4,16, 64, ...
Find the first four terms of the sequence given by the following. 21,=(-1)". 2n', n=1, 2, 3,... 0.000 OO Х 5
This Question: 1pc Write the first six terms of the arithmetic sequence with the given first term, ay, and common difference, d a = -3, d=8 The first term of the sequence is a, = (Simplify your answer.) The second term of the sequence is az = (Simplify your answer.) The third term of the sequence is ag = 0 (Simplify your answer.) The fourth term of the sequence is at - (Simplify your answer.) The fifth term of the...
23. List the terms of the finite sequence given by a (n 1)+for 1sn 3. 3 3 24. Find the sum of the series given by (3j+1) iEl 25. If a pair of fair dice is rolled, what are the odds in favor of the sum of the numbers showing being 5? 26. An art collector has 12 paintings, but she can display only 5 at a time. How many arrangements of 5 paintings can be displayed? (Order does matter.)
(9 marks) Let { ln(n+11) n+3 }n=1 be a sequence. a. Find the first 5 terms of the sequence in the exact form. b. Determine whether the sequence is strictly monotone, monotone, eventually strictly monotone, eventually monotone or neither. Prove it. c. Determine whether the sequence is convergent, and if so, find its limit.
Find ai and r for a geometric sequence {a,} from the given information. az = 52 and ag 416 27 an= = Х 5
Find the first four terms and the 100th term of the sequence whose nth term is given. an = 4n - 2 a1 az a 3 a 100
(1 point) A sequence (an] is given. Find the first 3 terms (2n)リ1-0 a2 =
Find the first four terms and the 100th term of the sequence whose nth term is given. 1 an 2n + 5 = a1 az = a3 = a4 II a 100