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Name : __________________________________________________ Date : ____________________ Find the next three terms in each sequence and give the expression for the nth term nth term ________________ 1) 12, 19, 26, 33, ________, ________, ________ 2) 7, 14, 28, 56, ________, ________, ________ nth term ________________ nth term ________________ 3) 80, 77, 74, 71, ________, ________, ________ 4) 9, 16, 25, 36, ________, ________, ________ nth term ________________ 5) 384, 192, 96, 48, ________, ________, ________ 6) 27, 18, 12, 8, ________, ________, ________ nth term ________________ nth term ________________ Give each number asked for : 7) the 4th hexagonal number : _______________ 8) the 3rd pentagonal number : _______________ 9) the 12 triangular number : ________________ 10) the 5th octagonal number : _______________ 11) List the first 12 Fibonacci numbers : Using notation such as T3 to mean the 3rd Triangular number, P4 to mean the 4th Pentagonal number, and Hn to mean the nth Hexagonal number answer the questions below. (hint : "in terms of n" means using n in your formula) 12) Give a formula for Tn in terms of n 13) Give the 5th Square number in terms of 2 different Triangular numbers 14) Give the 7th Pentagonal number in terms of a Square number and a Triangular number 15) Give the 6th Octagonal number in terms of 2 different Triangular numbers 16) Give the 8th Heptagonal number in terms of the 8th Hexagonal number and a Triangular number