Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges. StartSet 1.00004 Superscript n EndSet Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The sequence converges by oscillation. It converges to nothing. B. The sequence converges monotonically. It converges to nothing. C. The sequence diverges monotonically. D. The sequence diverges by oscillation.

D. The sequence diverges by oscillation.

Step-by-step explanation:

an = (-1.00000004)n

From root test

L = Lim n->infinity (|an|)(1/n)

==> L = Lim n->infinity (|-1.00000004n|)(1/n)

==> L = Lim n->infinity (|-1.00000004|n)(1/n)

==> L = Lim n->infinity |-1.00000004|

==> L = 1.00000004 > 1

Hence series diverges.

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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