In an arithmetic sequence, each term is found by adding or subtracting the same number to the previous term.
In a geometric sequence, each term is found by multiplying or dividing the same number to the previous term.
For each of the following sequences, identify if it is an “arithmetic” or “geometric” sequence or “neither”.
a)Is the sequence $3,6,9,12,15,...$ arithmetic, geometric, or neither?
b)Find a formula for the general term of $3,6,9,12,15,...\qquad u_n=$
c)Find a formula for the general term of $4,7,10,13,16,...\qquad u_n=$
d)Find a formula for the general term of $5,8,11,14,17,...\qquad u_n=$
e)Find a formula for the general term of $6,9,12,15,18,...\qquad u_n=$
f)Find a formula for the general term of $10,13,16,19,22,...\qquad u_n=$
g)Find a formula for the general term of $100,103,106,109,112,...\qquad u_n=$
h)Find a formula for the general term of $2,5,8,11,14...\qquad u_n=$
i)Find a formula for the general term of $1,4,7,10,13,...\qquad u_n=$
j)Find a formula for the general term of $0,3,6,9,12,...\qquad u_n=$
k)Find a formula for the general term of $-1,2,5,8,11,...\qquad u_n=$
l)Find a formula for the general term of $-100,-97,-94,-91,-88,...\qquad u_n=$
a)Is the sequence $7,14,21,28,35,...$ arithmetic, geometric or neither?
b)Find a formula for the general term of $7,14,21,28,35,...\qquad u_n=$
c)Find a formula for the general term of $8,15,22,29,36,...\qquad u_n=$
d)Find a formula for the general term of $3,10,17,24,31,...\qquad u_n=$
e)Find a formula for the general term of $50,57,64,71,78,...\qquad u_n=$
f)Find a formula for the general term of $-7,-14,-21,-28,-35,...\qquad u_n=$
g)Find a formula for the general term of $-8,-15,-22,-29,-36,...\qquad u_n=$
h)Find a formula for the general term of $0,-7,-14,-21,-28,-35,...\qquad u_n=$
i)Find a formula for the general term of $18,11,4,-3,-10,...\qquad u_n=$
j)Find a formula for the general term of $-100,-107,-114,-121,-128...\qquad u_n=$
General Term of Arithmetic Sequences
Find the general term, $u_n$, for the following sequences.
*Write your answers in the form $an+b$ where $a$ and $b$ are numbers.
Also, find the 100th term, $u_{100}$
a)$1,3,5,7,9,\ldots \qquad u_n=$
b)$u_{100}=$
c)$15,18,21,24,27,\ldots \qquad u_n=$
d)$u_{100}=$
e)$6,17,28,39,50,\ldots \qquad u_n=$
f)$u_{100}=$
g)$-11,-14,-17,-20,-23,\ldots \qquad u_n=$
h)$u_{100}=$
i)$13,5,-3,-11,-19,\ldots \qquad u_n=$
j)$u_{100}=$
k)*Write your answer in the form $\frac{\boxed{\phantom{1}}}{\boxed{\phantom{3}}}n+\frac{\boxed{\phantom{1}}}{\boxed{\phantom{6}}}:\qquad$ $\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},\frac{11}{6},\ldots \qquad u_n=$