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Homework+18+-+Sequences

# Homework+18+-+Sequences - Homework18Sequences 1 Generalterm...

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Homework 18 – Sequences 1) Match each sequence with its general term: a 1 , a 2 , a 3 , a 4 , … General term a) 1234 , , , ,... 2345 i) cos n (b) 1, 1, 1, 1, … ii) ! 2 n n (c) 1, 1, 1, 1, … iii)   1 1 n (d) 12624 , , , ,... 24816 iv) 1 n n 2) Calculate the first four terms of each sequence, starting with n = 1. a) 3 ! n n c n b) 5c o s n bn  c)  21 ! ! n n a n 3) Find a formula for the nth term of each sequence. a) 111 , , ,... 18 2 7 b) 234 , , ,... 678

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4) Determine the limit of the sequence and state whether the sequence converges or diverges. a) 51 12 9 n n b n b) 2 n n c  c) 1 4 n d) 3 1 3 cos 1 n n a n    e) 1 10
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Homework+18+-+Sequences - Homework18Sequences 1 Generalterm...

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