The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Every quarter is 3 months so you must divide 1339.70 by 3 to get her monthly payment of about $446.57.
Hope this helps :3
Answer:
0.04409 quarter
Step-by-step explanation:
Answer:
Katherine: 920
Crystal: 552
Step-by-step explanation:
The total amount earned by each is 1472
The ratio of the earnings is Katherine / Crustal = 5/3
The total number of shares = 5 + 3 = 8
So the proportion for Katherine
5/8 = x / 1472 Cross multiply
8x = 5 * 1472
8x = 7360
x = 7360/8
x = 920
And the proportion for Crystal is
3/8 = x / 1472 Cross multiply
8x = 3 * 1472
8x = 4416
x = 4416 / 8
x = 552
