3. for each of the following lists of integers, provide a simple formula or rule.. assuming that your formula or rule is correct, determine the next three term of the sequence. 15, 20, 25, 30, a. b. 5,9, 13, 17, 21,

Step-by-step explanation:

Consider the first sequence:

15, 20, 25, 30, 35,...

Note that each term is increased by 5 from its previous term.

Therefore,

If the pattern continue, the next three term of the sequence will be:

Similarly,

Similarly,

Thus, the next three term of the sequence 15, 20, 25, 30, 35,... is 40, 45, and 50.

Now, consider the second sequence:

5, 9, 13, 17, 21,...

Note that each term is increased by 4 from its previous term.

Therefore,

If the pattern continue, the next three term of the sequence will be:

Similarly,

Similarly,

Thus, the next three term of the sequence 5, 9, 13, 17, 21,... is 25, 29, and 33.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1