Answer:
B. 0
Step-by-step explanation:
Given the expression
Un = 5n + (-1)ⁿ/n²
Limit of the sequence is taken by tending the value of n to infinity
Note that lim (aⁿ) as n tends to infinity is zero for values of a<1
Find the remaining solution in the attachment.
Limit of the sequence 5n + (-1)ⁿ/n² as n tends to infinity is 0
The experienced window washer can wash all the windows in Mike’s house in 2 hours, which implies that in 1 hour he completes 1/2 of the job.
By the same logic, the new trainee completes 1/7 of the job in one hour.
If they work together, they complete
of the job in one hour, meaning that they complete the job in 14/9 of a hour.
B. It is the same as the original median.
<u>Step-by-step explanation</u>:
- The original set of data contain 7 items.
- Median term for odd number of set = (no. of items+1) / 2
Median term = (7+1) / 2 = 8/2 = 4.
The median of the original set is 4th term of the 7 items.
- The new set has 11 items in which 2 items are added in the beginning and 2 items are added in the end of the original set.
- Now, the 4th term of the original set becomes the 6th term of the new set.
Median term of new set = (11+1)/2 = 12/2 = 6.
The median of the new set is 6th term of the 11 items.
- The 4th term of original set and 6th term of new set are same.
- So, the median remains the same.
It's too blurry you might want to retake the picture
Multiply the numbers like you multiply binomials.
Multiply every term of the first binomial by every term of the second binomial.
Then combine like terms, and remember that i^2 = -1.
(3 + 2i)(4 - i) =
= 12 - 3i + 8i - 2i^2
= 12 + 5i + 2
= 14 + 5i