The sequence is infinite because the exponents 2 ,3 ,4 ,... go on infinitely.

That next number in the equence is obtained by multiplying each term by ab.

the sixth term is 2a^(6)b^(5)

3 0

3 years ago

Read 2 more answers

For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

Ivanshal [37]

Answer:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

Step-by-step explanation:

We are given the function:

$\displaystlye F(x) = x^2 - 2x + 4$

And we want to find F(<em>b</em> + 3).

We can substitute:

$\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4$

Expand:

$\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4$

Rearrange:

$\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)$

Combine like terms. Hence:

$\displaystyle = b^2 +4b + 7$

In conclusion:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

6 0

3 years ago

Which word describes the slope of the line?

Vaselesa [24]

Answer:

rate of change

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

5(3 - x) < -2x + 6 please solve for me <3

aleksandrvk [35]

What grade are you learning this in

3 0

4 years ago

Read 2 more answers