a)For the sequence $2,4,8,16,32,...$, what number is multiplied each time to get the next term?
b)Find a formula for the general term, $u_n$ of $2,4,8,16,32,...$
Write your answer in the form $b^n$
c)Find a formula for the general term, $u_n$ of $1,2,4,8,16,32,...$
Write your answer in the form $b^{n-1}$
d)Find a formula for the general term, $u_n$ of $3,6,12,24,48,96,...$
Write your answer in the form $a\left(b\right)^{n-1}$
e)Find a formula for the general term, $u_n$ of $6,12,24,48,96,...$
Write your answer in the form $a\left(b\right)^{n-1}$
f)Find a formula for the general term, $u_n$ of $-1,-2,-4,-8,-16,-32...$
Write your answer in the form $b^{n-1}$
g)Find a formula for the general term, $u_n$ of $1,-2,4,-8,16,-32...$
Write your answer in the form $(b)^{n-1}$
h)Find a formula for the general term, $u_n$ of $-3,6,-12,24,-48,96,...$
Write your answer in the form $a\left(b\right)^{n-1}$
Terms of Geometric Sequences
Find the first 5 terms for each geometric sequence.
Write the terms separated by commas.
For example,
Question:
$u_n=5^n$
Answer:
$5,25,125,625,3125$
a)$u_n=3^n$
b)$u_n=3^{n-1}$
c)$u_n=2\left(3\right)^{n-1}$
d)$u_n=-2\left(3\right)^{n-1}$
e)$u_n=2\left(-3\right)^{n-1}$
f)$u_n=-2\left(-3\right)^{n-1}$
General Term of Geometric Sequences
Find the general term, $u_n$, for the following sequences.
*Write your answers in the form $b^{n-1}$ or $\left(b\right)^{n-1}$ or $a\left(b\right)^{n-1}$ or $a\left(\frac{b}{c}\right)^{n-1}$ where $a,b,c$ are numbers.