Infinite Sequences - Page 5

Questions
  • Suppose, #a_n# is monotone and converges and #b_n=(a_n)^2#. Does #b_n# necessarily converge?
  • How do you find the nth term of the sequence #2, 4, 16, 256, ...#?
  • Does #a_n=(1 + (n/2))^n # converge?
  • How do you determine whether the infinite sequence #a_n=(-1)^n# converges or diverges?
  • How do you determine whether the sequence #a_n=rootn (n)# converges, if so how do you find the limit?
  • How do you find the nth term of the sequence #1, 1 1/2, 1 3/4, 1 7/8, ...#?
  • How do you Find the #n#-th term of the infinite sequence #1,-2/3,4/9,-8/27,…#?
  • This sequence converge or diverge 2/5,1/2,6/11,4/7,.....?
  • What is the pattern in the sequence 1, 1, 0, -1, 0, 7, 28, 79, 192?
  • What is the pattern in the sequence 1, 3, 4, 7, 6, 12, 8, 15, 13, ??
  • What is the next number in this sequence 1, 1, 3, 2, 4, 6, 5, 25?
  • How do you find #a_8# given #a_n=(n!)/(2n)#?
  • How can I prove that this sequence is monotonic?
  • How do you do this?
  • What is the next number in the sequence ___, ____, 16,256, 65,536?
  • What is the next number in the sequence 625, 25, ____?
  • What is the next number in the sequence 72, 36, 18, ____, 4.5?
  • A man went to his bank and deposited $1,663. A couple of days later, that same man deposited $1,527. A few days after that, he deposited $1,126. A couple days later, he deposited $1,096. What was his next deposit?
  • How do you determine if 15,-5,-25,-45 is an arithmetic or geometric sequence?
  • How do you determine if -10,20,-40,80 is an arithmetic or geometric sequence?