Jul 3, 2018 · 1) The general form of for the nth of a geometric sequence with first term a1, common ratio between all terms r is given by an = a1(r)n−1 Given a1 = 2,r = 4, we plug these values into the above …

Find the common ratio, r, in the following geometric sequence. 2, 6, 18, 54, … 3 -3 4 9 ?

Nov 20, 2017 · What is the 22nd term in the arithmetic sequence in which a4, is 73 and a10 is -11?

Mar 17, 2017 · Now if #a_1# is the first of arithmetic sequence and #d# is common difference, #n^ (th)# term #a_n# is given by

Nov 26, 2017 · This is the condition that #a_n# be a Cauchy sequence. So if the set of numbers is closed under Cauchy sequences then the limit exists. Such is true of the set of Real numbers, so the …

Jun 20, 2016 · Of sequence and series the latter is the hardest (adding up a sequence). For this the only real solution is to find a guide/book with lots of examples and practice questions (with answers).

Apr 20, 2018 · (b) {-1,2,2,2,..} (c)" " 2-sqrt2 we have x_ (n+1)=x_n^2-x_n (a)" " x_1=1 :. x_2=x_1^2-x_1=1^2-1=0 x_3=x_2^2-x_2=0^2-0=0 etc sequence is 1,0,0,0,.. (b)" " x_1=-1 x_2=x_1^2-x_1= ( …

Dec 13, 2015 · Yes. lim_(n->oo)1/(n!) = 0 As a way of building intuition about a sequence of the form f(n)/g(n) Consider if the rate of growth of one of the functions is much faster than that of the other. As …

What is meant by a divergent sequence? What are two examples of divergent sequences? How can I tell if a sequence converges? What is a fraction sequence? What are the strengths and weaknesses …

For our sequence, the first term #u_ (1)# is #6.75#, and the common ratio is #- frac (2) (3)#: #Rightarrow S_ (infty) = frac (6.75) (1 - (- frac (2) (3)))# # ...