Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
$T_{n} = an^{2} +bn +c$

To find the value of a we just divide second difference ( -4 ) by 2:

$a = \frac{-4}{2}= -2$

Now we have:

$T_{n}= -2n^{2} +bn+c$

Substitute $n_{1}$ and $n_{2}$ into the equation above:

$T_{1} = -2(1)^{2} +b(1) +c$

$T_{2} = -2(2)^{2} +b(2)+c$

Since $T_{1}$ = -2 and $T_{2}$ = -8 , after simplification we have:

$b +c =0$
$2b+c=0$

The solution of this system is:

b=0, c =0

The general term is :

$T_{n} = -2n^{2}$

6 0

1 year ago

Jessica wrote 6 6 6 on the board. what is another way to show 6 6 6 6

Ray Of Light [21]

Umm she could put 6 times 4

5 0

3 years ago

Read 2 more answers

The price of a pumpkin is determined by how much it weighs.

Gennadij [26K]

Answer:

$5.00

Step-by-step explanation:

Each pumpkin costs $5.00 plus $0.35 per pound which equation represents the price of a pumpkin p) that is x pounds? A. 5x +0.35 = p. 5+0.35x = p. C. 0.35p

4 0

1 year ago