Arithmetic

[Joseph]

Write an expression to describe each sequence. Then find the 100th term.

3. 35,36,37.... 4.8,10,12,14......


Expression. Expression.

100th term 100th term

 

[tkhunny]

3
35
36
37
37
37
37
37
37
...
37 - 100th term

4
8
10
12
14
16
18
...
204 - 100th term

Note: These are silly problems. Just pick something you can expalin and you are done.

 

[Denis]

Write an expression to describe each sequence. Then find the 100th term.

Is that from your math teacher?

 

[lookagain]

Write an expression to describe each sequence. Then find the 100th term.

3. 35,36,37.... 4.8,10,12,14......


Expression. Expression.

100th term 100th term

My interpretation:

I see those as being periods after "3" and 4."

I see these as problem 3 and problem 4:


\(\displaystyle 3. \ \ \ 35, 36, 37, ... \ = \\)


\(\displaystyle (1 + 34), (2 + 34), (3 + 34), ...\)


\(\displaystyle Expression: \ \ \ \ n + 34\)

\(\displaystyle 100th \ term \ = \ 100 + 34 \ = \ 134\)




\(\displaystyle 4. \ \ \ 8, 10, 12, 14,... \ = \\)


\(\displaystyle 2(4), 2(5), 2(6), 2(7),... =\)

\(\displaystyle 2(1 + 3), 2(2 + 3), 2(3 + 3), 2(4 + 3),...\)


\(\displaystyle Expression: \ \ \ \ \ 2(n + 3) \ = \ 2n + 6\)

\(\displaystyle 100th \ term \ =\ 2(100) + 6 \ = \ 206\)

 

[tkhunny]

Excellent. I missed the Problem Numbering.

Nevertheless, they are silly problems without the additional information that we are deliberately studying arithmetic sequences.