Infinite Sequences - Page 2
Questions
- How do you find the nth term of the sequence #1, 3, 6, 10, 15,...#?
- How do you write the first five terms of the sequence #a_n=n/(n+2)#?
- How do you determine whether the sequence #a_n=(n+1)^n/n^(n+1)# converges, if so how do you find the limit?
- How do you find the first five terms of each sequence #a_1=-3#, #a_(n+1)=a_n+n#?
- Check for convergence or divergence in the following sequences?
- How do you find a formula for the sequence -2, 1, 6, 13, 22..?
- How do you determine whether the infinite sequence #a_n=n*cos(n*pi)# converges or diverges?
- How do you determine whether the infinite sequence #a_n=arctan(2n)# converges or diverges?
- We have #f(n)# an string;#ninNN# such that #f(n+1)-f(n)=3f(n)# and #f(0)=-1/2#.How to express #f(n)# according to #n#?
- Does #a_n=n^x/(n!) # converge for any x?
- How do you determine if #Sigma (7^n-6^n)/5^n# from #n=[0,oo)# converge and find the sums when they exist?
- Apart from #2, 3# and #3, 5# is there any pair of consecutive Fibonacci numbers which are both prime?
- How do you write the first five terms of the sequence defined recursively #a_1=32, a_(k+1)=1/2a_k#?
- Is the sequence #a_n=(1+3/n)^(4n)# convergent or divergent?
- How do you find the nth term of the sequence #2,5,10,17,26,37,...#?
- How do you determine if #Sigma (2n-3)/(5n+6)# from #n=[0,oo)# converge and find the sums when they exist?
- How do you determine whether the sequence #a_n=((n-1)/n)^n# converges, if so how do you find the limit?
- Does #a_n=(-1/2)^n# sequence converge or diverge? How do you find its limit?
- How do you determine whether the infinite sequence #a_n=(2n)/(n+1)# converges or diverges?
- How do you Find the limit of an infinite sequence?