1. ## Nth Term help

n³+3
Write the first four terms using the nth term above.

I dont even know where to start..
And then theres these:

Draw lines to match each nth term rule to its number sequence:

TERMS Number sequences
4n 4,7,12,19

(n+1)² 4,8,12,16

n²+3 4,9,16,25

n(n+3) 4,10,18,28

I dont know how to work out which ones match... (There not in the right order at the moment)

2. Originally Posted by FB FTW
n³+3
Write the first four terms using the nth term above.

I dont even know where to start..
$\displaystyle {nth \;term, \;t_n} = n^3+3$

Put n = 1, 2, 3, 4, to get first term, second term, third term and fourth term respectively,

first term $\displaystyle t_1=(1)^3+3 = 1+3 = 4$

second term $\displaystyle t_2=(2)^3+3 = 8+3 = 11$

third term $\displaystyle t_3=(3)^3+3 = 27+3 = 30$

fourth term $\displaystyle t_4=(4)^3+3 = 64+3 = 67$

so, first four terms are 4, 11, 30, 67

Now, in the same way do the next part, and get first 4 terms and match it.

3. n³+3
Write the first four terms using the nth term above.

I'm not really sure either, unless you are to substitute the first 4 counting numbers for n and solve for $\displaystyle n^3+3$

If n={1, 2, 3, 4} then $\displaystyle n^3+3=${4, 11, 30, 67}

I dont even know where to start..
And then theres these:

Draw lines to match each nth term rule to its number sequence:

TERMS Number sequences
4n 4,7,12,19

If n={1, 3}, then 4n={4, 12}

It could mean this. You could draw a line from 4n to 4 and 12. Sounds silly to me. I don't know.

(n+1)² 4,8,12,16

n²+3 4,9,16,25

n(n+3) 4,10,18,28

I dont know how to work out which ones match... (There not in the right order at the moment)

The instructions are too vague. See if you can get clarification or an example from your book or from class.

4. Originally Posted by FB FTW
[snip]
Draw lines to match each nth term rule to its number sequence:

TERMS Number sequences
4n 4,7,12,19

(n+1)² 4,8,12,16

n²+3 4,9,16,25

n(n+3) 4,10,18,28

I dont know how to work out which ones match... (There not in the right order at the moment)

Obviously 4n matches with the sequence 4,8,12,16 and (n+1)² matches with the sequence 4,9,16,25. You can see this very easily simply by substituting the values n = 1, 2, 3 and 4 into each given rule and looking for a set of numbers that match.

That leaves the other two for you to do in the same way.

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### nth term of 4 7 12 19

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