Sequence and Series Worksheet #1 Date:______ 1) A table is
Sequence and Series Worksheet #1 Date:______ 1) A table is
Sequence and Series Worksheet #1 Date:______ 1) A table is
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4) Consider the sequence 3, 6, 12, 24, …<br />
a) Complete the <strong>table</strong> for the sequence.<br />
n 1 2 3 4 5 6 7<br />
3 6 12 24<br />
b) What <strong>is</strong> the generator for th<strong>is</strong> sequence?<br />
c) How many times do you need to multiply the first term in the sequence of 3 by 2 in order to obtain the<br />
value 24 in the sequence?<br />
d) Is there a short cut for doing repeated multiplication? What <strong>is</strong> it?<br />
e) The value found when n = 6 can be obtained by multiplying 3(2)(2)(2)(2)(2). Rewrite th<strong>is</strong> expression<br />
using exponents.<br />
f) What will the representation be for the 100 th term of the sequence?<br />
g) How could you represent ?<br />
5) Using what you learned from problem 4, find for each sequence below.<br />
a) 2, 8, 32, … b) 7, 42, 252, 1512, … c) 3072, 384, 48, 6, …<br />
6) For each of the following sequences, state whether each <strong>is</strong> arithmetic or geometric. If arithmetic or<br />
geometric, write the next 3 terms find <strong>and</strong> find .<br />
a) 4, 9, 14, 19, … b) 24, 12, 6, 3, …. c) 91, 82, 73, 64, …..<br />
d) 1, 4, 9, 16, ….. e) -9.5, -7, -4.5, -2, … f) -4, 8, -16, 32, ….
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