Week11 Calculus - Section 11.1 4 an 3n a1 31 3 a2 32 9 a3...

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Section 11.1: 4. 1 2 3 4 5 1 2 3 4 5 3 3 3, 3 9, 3 27, 3 81, 3 243 n n a a a a a a = - a = - = - = - = = - = - = - = = - = - 18. Finite 26. 1 1 2 1 3 2 4 3 ( ), 2, 2( ) 2(2) 4, 3( ) 3(4) 12, 4( ) 4(12) 48 n n a n a a a a a a a a - = = = = = = = = = = = 38. 3 2 1 2 3 4 5 1 3 2 2 2 2 2 2 2 1 2 3 1 ( 1), 2, 1, 0, 1, 2 ( 1) ( 1) ( 1) ( 1) ( 2 1) ( 1 1) (0 1) 5 2 1 8 i i i i x x x x x x x x x x = = + = - = - = = = + = + + + + + = - + + - + + + = + + = 46. 5 5 5 5 5 1 1 1 1 1 5(5 1) (8 1) 8 1 8 1 8( ) 5(1) 115 2 i i i i i i i i = = = = = + - = - = - = - = � � 48. 6 6 6 6 2 2 1 1 1 1 6(6 1) 6(6 1)(2(6) 1) (2 ) 2 6(2) 58 2 6 i i i i i i i i = = = = + + + + - = + - = + - = - � � Section 11.2: 4. 1 12 ( 8) 4 n n d a a d + = - = - - - = - 10. 1 1 2 1 3 2 4 3 5 4 4, 3 4, 3 7, 3 10, 3 13, 3 16 a d a a a a a a a a a = = = = + = = + = = + = = + = 16. 1 5 1 5 1 8 1 4, 16 ( 1) (5 1) 16 4 4 5 (8 1)5 31 4 ( 1)5 5 9 n n a a a a n d a a d d d a a a n n = - = = + - = + - = - + = = + - = = - + - = -
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22. 12 20 1 1 1 1 1 1 1 60, 84, ( 1) 60 (12 1) 60 11 ,84 (20 1) 84 19 84 19 60 11 3 60 (12 1)3 27 n a a a a n d a d a d a d a d d d d a a = = = + - = + - = - = + - = - - = - = = + -≡ = 26. [ ] [ ] 1 1 10 9, 4, 2 ( 1) 2 9 (10 1)4 90 2 2 n n a d S a n d = - = = + - = - + - = 34. [ ] [ ] 31 31 31 1 31 1 1 1 31 5580, 360, ( ) 5580 ( 360) 0 2 2 31 2 ( 1) 5580 2(0) (31 1) 12 2 2 n n S a S a a a a n S a n d d d = = = + = + = = + - = + - = Section 11.3: 4. 4 3 4 3 1 4 1 4 1 1 1 2 1 5 4 8 1 16, 8, 5 , 16 2 1 8 ( ) 64 2 1 1 64( ) 32, 8( ) 4 2 2 n a a a n r r a a a r a a a a r a a r - - = = = = = = =′ = = = = = = = = 8.
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