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10points 11. Solve the following equations:
(a) ln(2 − x) = 3. (b) log2 x + log2 (x + 2) = 3.
10points 12. A sum of $1000 is invested at an interest rate of 4% per year. How long will it take for
the amount to grow to $5000 if interest is compounded continuously.
1
10points 13. If log x = 2 and log y = , ﬁnd
2
2
(a) log(x y )
3
x
(b) log
y2
10points 14. For the arithmetic sequence: 7, 4, 1, . . .
(a) Find the formula for the nth term an and the 17th term of the sequence.
(b) Find the sum of the ﬁrst 10 terms.
11 1 1
, , , ,...
3 9 27 81
(a) Find the common ratio and the formula for the nth term an . 10points 15. For the geometric sequence: (b) Find the sum of the ﬁrst 10 terms. Page 2...
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This document was uploaded on 03/09/2014 for the course MATH 010 at Howard.
 Fall '10
 N/A
 Algebra

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