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Hello,

 

I 'd appreciate help with the below questions :)

 

1.

 

2.

 

3.

 Mar 19, 2019
edited by Guest  Mar 19, 2019
 #1
avatar+99441 
+1

1.   The common difference is   33......the first term is 20

So.....the formula is for the number sold in the nth week is

 

20 + 33 ( n - 1)  =

 

20 + 33n  - 33

 

33n  - 13

 

2.     an  =  -2n + 7

First term is   -2(1) + 7  =  5

Second term is   -2(2) + 7   =  3

So....the common difference is - 2

So....the recursive rule is   an  = an-1 - 2

So.....

 

a1 = 5       an  = an-1 - 2

 

 

3.  2, 9, 16, 23 , 30

The common difference is  7

The first term is  2

So....the explicit formula for the nth term is

 

an =  2 + 7 ( n - 1)  =  2 + 7n - 7   =  -5 + 7n 

 

 

 

cool cool cool

 Mar 19, 2019
 #2
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Thanks, Cphill!

 

I really struggle with these types of questions, so if you could help with these questions also that would be greatly appreciated!

 

1st one:

 

2nd one:

Guest Mar 19, 2019
 #3
avatar+99441 
+1

First one 

 

-2.7, -8.3, -13.9 , -19.5, -25.1

The common difference is    -8.3 - (-2.7) = -5.6

The first term is  -2.7

 

So....the recursive rule is

 

an  = an-1 - 5.6   where a1 = -2.7

 

 

Second one :

 

12.5, 11, 9.5.....

 

The common difference is    11 - 12.5  = -1.5

The first term is  12.5

 

So....the explicit rule is

 

an =  a1 - 1.5(n - 1)   =  12.5  - 1.5n + 1.5   =  14 -1.5n

 

 

 

cool cool cool

CPhill  Mar 19, 2019

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