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Transcript
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