11_TEST - 1 5 5 3125 n t r and t = =-= find n 11 Find the...

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Honors Algebra 2 Name ________________________ Chapter 11 Test Period _____ Date _____________ DIRECTIONS: Show values substituted into the correct formula. Calculations may be done using your calculator. 1. Find the next three terms and write a recursive formula for the sequence. 1,5,9,13, , _____, ______, _____ … 2. Write an explicit formula for the nth term of the arithmetic sequence 40, 32, 24, 16,…. 3. Given 2 5 t = - and 6 7, t = of the arithmetic sequence, find the 20 th term. = d = n t = n = 1 t 4. Find the 3 arithmetic means between –3 and –19. 5. Find the sum of all the even numbers from 2 to 200 inculsive. = d = 1 t = n S = n = n t 6. Find 25 S of the arithmetic series ( 29 ( 29 ( 29 ( 29 20 22 24 26 28 ... - + - + - + - + - + = d = 1 t = n S = n = n t
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7. Given 3 444 t = and 7 7104 t = in a geometric sequence, find the 15 th term. = r = n t = n = 1 t 8. Find the three geometric means between 486 and 6. 9. Find 21 S for the geometric series 4 6 9 13.5 . .. + + + + Round to the nearest tenth. = r = n S = n = 1 t 10. For the geometric series in which
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Unformatted text preview: 1 5, 5, 3125, n t r and t = = -= find n . 11. Find the sum of ,... 75 2 , 15 2 , 3 2 if it exists. If it doesn’t exist, explain. = r = n S = n = 1 t 12. Find 1 2.9 k k ∞ = ∑ if it exists. If it doesn’t exist, explain. = r = n S = n = 1 t 13. Find ∑ ∞ = 1 2 1 3 n n if it exists. If it doesn’t exist, explain. = r n S = = n = 1 t 14. Using an infinite geometric series, write the decimal as a fraction in simplest form. .626 15. a. find the 6 th entry of row 9 of Pascal’s triangle. b. How many terms are in the expansion of 13 ( 2 ) x y-16. Evaluate 5 ) 3 2 ( y x-17. Find the 7 th term of 15 ( ) x y + 18. 17. BONUS: Evaluate using the constant, linear, and quadratic summation formulas. MUST SHOW WORK for credit. (6 pts) ( 29 5 2 1 4 4 10 k k k = + + = ∑...
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11_TEST - 1 5 5 3125 n t r and t = =-= find n 11 Find the...

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