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  1. If sum_ (n=1)^oo abs (a_ (n+1)-a_n) converges then does the …

    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, …

  2. What is the formula for the nth term t_n of the sequence 1^2

    The formula for a term of this last sequence can be written: a_n = floor (1/2 (sqrt (8 (n-1)+1)-1)) color (white) (a_n) = floor (1/2 (sqrt (8n-7)-1)) So the formula for the previous sequence can be …

  3. Question #8d696 - Socratic

    The general rule for any member (a_i) of the given sequence we have: a_i=i^2+i+1 A trick always worth trying is to look for progressive increments. color (brown ...

  4. What is the formula for the sequence #4,2,3,4,3,2,...# - Socratic

    A finite sequence does not determine a unique formula. The above formula is the simplest polynomial function that matches the given values.

  5. How do you write the first five terms of the arithmetic sequence …

    Sep 26, 2017 · How do you write the first five terms of the arithmetic sequence given a1 = 72, ak+1 = ak − 6 and find the common difference and write the nth term of the sequence as a …

  6. Find the common ratio for the following geometric sequence

    Apr 19, 2017 · Find the common ratio for the following geometric sequence? 0.75, 1.5, 3, 6, . . . 3 1.5 2 0.75 Precalculus Sequences Geometric Sequences

  7. Question #7f0e5 + Example - Socratic

    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 …

  8. How do you determine whether the sequence a_n= (n+2)/n

    Feb 25, 2017 · It coverages to unity.. We have the sequence {a_n} where: a_n = (n+2)/n \\ \\ \\ \\ = 1+2/n And so as n rarr oo => a_n rarr 1 NB: A common result is that the harmonic series …

  9. How do you write the first five terms of the arithmetic sequence …

    How do you write the first five terms of the arithmetic sequence given #a_1=-2.6, d=-0.4#?

  10. Question #36bf7 - Socratic

    Question 2 1. Using the general formula for a geometric sequence, tn = arn−1, substitute the second term, 8, and the fifth term, 64, along with their other appropriate known values into two …