mth.122.handout.14

mth.122.handout.14 - MTH 122 — Calculus II Essex County...

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Unformatted text preview: MTH 122 — Calculus II Essex County College — Division of Mathematics and Physics 1 Lecture Notes #14 — Sakai Web Project Material 1 Pre-Calculus Review Problems 1. List the first six terms, starting with n = 1, of the sequence whose n th term is given by: a n = cos( nπ ) + n 2 3 + 2 n 2. Find a general term for the sequence: 7 2 , 7 5 , 7 8 , 7 11 , 1 2 , 7 17 , ··· 3. List the first eight terms, starting with n = 1, of the sequence whose n th term is given by: a n = a n- 1 + a n- 2 2 , n > 2; a 1 = 0 , a 2 = 1 . 4. Give a recursive formula for the sequence: , 1 , 1 , 2 , 3 , 5 , ··· 5. Give a recursive formula for the sequence: 1 , 3 , 7 , 15 , 31 , 63 , ··· 6. Show that the n th partial sum of a geometric series is S n = a + ax + ax 2 + ax 3 + ax 4 + ··· + ax n = a ( 1- x n +1 ) 1- x 1 This document was prepared by Ron Bannon ( [email protected] ) using L A T E X2 ε . Last revised January 10, 2009....
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This note was uploaded on 01/31/2011 for the course MTH 222 taught by Professor Ban during the Spring '10 term at Essex County College.

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mth.122.handout.14 - MTH 122 — Calculus II Essex County...

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