Homework 18 – Sequences 1) Match each sequence with its general term: a1, a2, a3, a4, … General terma) 1234, , , ,...2345 i) cos n (b) ‐1, 1, ‐1, 1, … ii) !2nn (c) 1, ‐1, 1, ‐1, … iii) 11n(d) 12624, , , ,...24816 iv) 1nn 2) Calculate the first four terms of each sequence, starting with n = 1. a) 3!nncn b) 5cosnbn c) 21!!nnan 3) Find a formula for the nth term of each sequence. a) 111, , ,...1827 b) 234, , ,...678 4) Determine the limit of the sequence and state whether the sequence converges or diverges. a) 5112 9nnbn b) 2nnc c) 14n d) 313cos1nnan e) 1109nna f) 1.01nnc g) 12nna h) !9nnnc i) 223223nnnan j) cosnnan k) ln5 ln !nndn l) 13242nan m) 21ln34nncn n) 2nnney o) 85nnnney p) sinnann q) 34274nnnb r) 11nnan s) 2lnnnan
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