Answer:
The explicit formula

The recursive formula
for 
if 
Step-by-step explanation:
If a sequence is arithmetical then the difference between any of its consecutive terms will be constant
3, 3.25, 3.5, 3.75,

The difference between the consecutive terms remains constant so the sequence is arithmetic.
The explicit formula for an arithmetic sequence is:

Where d is the constant difference between the terms.

is the first term of the sequence.

So

Finally, the recursive formula is:

Answer:
He would need 42 cm *or 14cm
Step-by-step explanation:
28/4 is 7
that means that he used 7 cm of tape per present
6 x 7 is 42
that means that he would need 42 cm of tape
4 to 28
6 to 42
*If he already has 4 presents done and he needs to 2 more present then he would need 14 cm, 2 x 7 is 14
answer: 375
Step-by-step explanation:
panda bear caps: 25
they ordered 100 in total
25/100 = 1/4, a quarter
then you find a quarter of 1500
1500/4= 375
F(x) = -2(x - 3)² + 2
f(x) = -2(x - 3)(x - 3) + 2
f(x) = -2[x(x - 3) - 3(x - 3)] + 2
f(x) = -2[x(x) - x(3) - 3(x) - 3(-3)] + 2
f(x) = -2(x² - 3x - 3x + 9) + 2
f(x) = -2(x² - 6x + 9) + 2
f(x) = -2(x²) - 2(-6x) - 2(9) + 2
f(x) = -2x² + 12x - 18 + 2
f(x) = -2x² + 12x - 16