Infinite Sequences - Page 3
Questions
- How do you determine whether the sequence #a_n=sqrt(n^2+n)-n# converges, if so how do you find the limit?
- How do you find the nth term of the sequence #0.6, 0.61, 0.616, 0.6161,...#?
- How do you determine whether the infinite sequence #a_n=(1+1/n)^n# converges or diverges?
- How do you Find the #n#-th term of the infinite sequence #1,1/4,1/9,1/16,…#?
- Does #a_n=(5^n)/(1+(6^n) #converge? If so what is the limit?
- How do you write the first five terms of the sequence #a_n=1/(n^(3/2))#?
- What does it mean for a sequence to converge?
- How do you determine if #a_n=(1-1/8)+(1/8-1/27)+(1/27-1/64)+...+(1/n^3-1/(n+1)^3)+...# converge and find the sums when they exist?
- How do you find the first five terms given #a_1=6# and #a_(n+1)=a_n+n+3#?
- How do you determine whether the sequence #a_n=(n!+2)/((n+1)!+1)# converges, if so how do you find the limit?
- How do you determine whether the sequence #a_n=n-n^2/(n+1)# converges, if so how do you find the limit?
- How do you find #a_16# given #a_n=(-1)^(n-1)[n(n-1)]#?
- How do you determine whether the sequence #a_n=sqrtn# converges, if so how do you find the limit?
- How do you Determine whether an infinite sequence converges or diverges?
- Is the sequence divergent or convergent?
- How do I find a formula for #s_n# for the sequence -2, 1, 6, 13, 22,...?
- Does #a_n={(3/n)^(1/n)} #converge? If so what is the limit?
- If #a_n# converges and #lim_(n->oo) a_n /b_n=0#, where c is a constant, does #b_n# necessarily converge?
- How do you determine whether the sequence #a_n=n/(ln(n)^2# converges, if so how do you find the limit?
- How do you determine whether the infinite sequence #a_n=e^(1/n)# converges or diverges?