Use the ratio test to determine whether ∑n=20[infinity]9n(2n)2 converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥20,(b) Evaluate the limit in the previous part. Enter \infty as infinity and -\infty as -infinity. If the limit does not exist, enter DNE.

(c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose Converges Diverges Inconclusive

explanation:

v=uf/(u-f)

= 5.-10/(5+10) convex lens has negative focal length

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m