Answer:
9n - 8
Step-by-step explanation:
The sequence is arithmetic since the difference between consecutive terms is common
d = 10 - 1 = 19 - 10 = 28 - 19 = 9
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = 9, thus
= 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence
= 9n - 8
The total amount in her savings account is 12,058.78
a.
b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying and is as simple as multiplying the moduli and adding the arguments:
c. Similar to (b), except now you divide the moduli and subtract the arguments:
38%, 0.4, 0.5, 5/8 is that ordered from least to greatest