The key thing to look for to determine whether a sequence is geometric is to see whether the ratio between consecutive terms - the number I would multiply one term by to get the next - is constant.
By inspection, we see that the fourth answer choice satisfies that, as 
Why not the first? We have 
The third choice is not a geometric sequence, but rather an arithmetic sequence, where the difference between consecutive terms is constant. Just to make sure that it isn't geometric, we compute 
The second sequence is not geometric (although it does eventually converge to 1, but not its corresponding series), as 
1.D
2.C
3.B
If you need to know the amount let me know.
Yeah i think it’s uh i think it’s a correct
The answer is 5:) you first have to cross multiply then divide both sides from x
Answer:
See below in bold.
Step-by-step explanation:
6x^2+42x The greatest common factor is 6x so we have:
6x(x + 7).
x^2 - 7x - 30
Note that: + 3 * -10 = -30 and + 3 - 10 = -7 so the factors are:
(x - 10)(x + 3).
x^2 + 9x + 20
Note that + 5 * +4 = +20 and +4 + 5 = + 9;
= (x + 5)(x + 4).
x^2 - 14x + 48
Note that -6 * -8 = 48 and -6 - 8 = -14 so:
= (x - 6)(x - 8).
2x^2 + 21x - 11
When the leading coefficient is greater than 1 we can use
the ac method:
2 * -11 = -22
Now we need 2 numbers whose sum is + 21 and whose product is -22.
They are +22 and -1. So we write:
2x^2 + 21x - 11
= 2x^2 + 22x - 1x - 11 Factor this by grouping:
= 2x(x + 11) - 1(x + 11)
The x + 11 is common so the answer is:
(2x - 1)(x + 11).
5a^2 - 125 The GCF is 5 so we have:
5(a^2 - 25) Now we have the difference of 2 squares in the parentheses so
this is 5(a - 5)(a + 5).
