General Formula by Inspection
a)
Find a formula for the general term of $2, 4, 6, 8, 10,\ldots \qquad u_n=$
b)
Consider the sequence $3, 5, 7, 9, 11,\ldots$
What number is added to each term in $2, 4, 6, 8, 10,\ldots$ to get this sequence?
c)
Therefore, the formula for the general term of $3, 5, 7, 9, 11,\ldots$ is $\qquad u_n=$
d)
Consider the sequence $9, 15, 21, 27, 33,\ldots$
What number is multiplied to each term in $3, 5, 7, 9, 11,\ldots$ to get this sequence?
e)
Therefore, the formula for the general term of $9, 15, 21, 27, 33,\ldots$ is $\qquad u_n=$
a)
Find a formula for the general term of $1, 4, 9, 16, 25,\ldots \qquad u_n=$
b)
Consider the sequence $2, 5, 10, 17, 26,\ldots$
What number is added to each term in $1, 4, 9, 16, 25,\ldots$ to get this sequence?
c)
Therefore, the formula for the general term of $2, 5, 10, 17, 26,\ldots$ is $\qquad u_n=$
d)
Consider the sequence $3, 12, 27, 48, 75,\ldots$
What number is multiplied to each term in $1, 4, 9, 16, 25,\ldots$ to get this sequence?
e)
Therefore, the formula for the general term of $3, 12, 27, 48, 75,\ldots$ is $\qquad u_n=$
f)
Write a formula for the general term of the sequence $\frac{1}{3}, \frac{1}{12}, \frac{1}{27}, \frac{1}{48}, \frac{1}{75},\ldots$. $\qquad u_n=$