Does this sequence converge or diverge? \left\{\frac{10n-6}{2n-3}\right\} { 2n−3 10n−6 }

The sequence converges

Step-by-step explanation:

Given the sequence Un = 10n-6/2n-3

To determine whether the sequence converges or diverges, we will have to take the limit of the sequence as n goes large.

Divide through by n

Since the limit of the sequence gives a finite value, hence the sequence converges

loloo

step-by-step explanation:

lololool

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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