(26B) Algebraic rules for sequences
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 the above sequence to get this sequence?
c)
Therefore, the formula for the general term of $3, 5, 7, 9, 11,\ldots$ is $u_n=$
d)
Consider the sequence $9, 15, 21, 27, 33,\ldots$
What number is multiplied to each term in the above sequence to get this sequence?
e)
Therefore, the formula for the general term of $9, 15, 21, 27, 33,\ldots$ is $u_n=$
Example
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 the above sequence to get this sequence?
c)
Therefore, the formula for the general term of $2, 5, 10, 17, 26,\ldots$ is $u_n=$
d)
Consider the sequence $3, 12, 27, 48, 75,\ldots$
What number is multiplied to each term in the above sequence to get this sequence?
e)
Therefore, the formula for the general term of $3, 12, 27, 48, 75,\ldots$ is $u_n=$
Exercises
(26B on P.537) #1cfi, #2cf, #4, #5, #6 right column, #7, #8