Question

Can someone help me with three and four?

Answer 1

I will have more questions.. so if you all could help that would be awesome!

Answer 2

Let's start with #3

How are the numbers increasing?
Are you multiplying by some constant number or adding?

Answer 3

Im not really sure..
I think adding

Answer 4

What number are you adding by?

34 - 27 = ?
41 - 34 = ?
48 - 41 = ?

Answer 5

And you're right, it's increasing because we're adding a constant number!

So it's an arithmetic sequence and not a geometric sequence.

Answer 6

so what would the equation be> and how>

Answer 7

What is the number that gets added to the next term

If I asked you what comes after 48, what would it be?

27, 34, 41, 48, ??

Answer 8

55

Answer 9

So whats the equation? and how are you going to get it?

Answer 10

So what is the constant number that you added to the previous number?

Answer 11

7

Answer 12

The arithmetic sequence is in the form of
\( a_{n}=a_{1}+(n-1)d\)

\( a_n\) would be the \(n^{th}\) term of the sequence
\( a_1\) would be the first term of the sequence
d is the common difference between our terms

Answer 13

Good, 7 is correct! That is our common difference.

What is the first term in the sequence?

Answer 14

Whaht do you mean 1st term?

Answer 15

Good question so by first term

For example, if we had a list that goes like
1, 2, 3, 4, 5, 6, 7, .....

1 would be our first term
2 would be our second term
and so on

1 is our first term because that's the first number we began with

Answer 16

Your question gives us
27, 34, 41, 48, ...

What's the first number they gave us?

Answer 17

27

Answer 18

Bingo!

So now we have our equation!

\(a_{n}=27+ 7(n-1)\)

Answer 19

If we want to find the 10th number we have to replace n with 10

If you plug in n = 10, what do you get?

Answer 20

70

Answer 21

???

Answer 22

mhmm you might want to check your work again

\( a_{10} = 27 + 7(10-1)\)

What is 10-1 = ?

Answer 23

9

Answer 24

now multiply that with 7

9*7 = ?

Answer 25

63

Answer 26

so now whats the equation?

Answer 27

so now whats the equation?

Answer 28

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Bingo!

So now we have our equation!

\(a_{n}=27+ 7(n-1)\)
\(\color{#0cbb34}{\text{End of Quote}}\)

This was our equation

Answer 29

We have one last step

what is 27 + 63 = ?

Answer 30

90

Answer 31

And that would be the tenth term in your sequence!

Answer 32

ok.. thank you! so much!

Answer 33

i also posted another one.. XDDD