The first three terms of a geometric sequence are as follows. 48,24,12 find the next two terms of the sequence

Here the first term is a(1) = 48 and the common ratio (r) is 1/2.

Thus, a(n) = a(1)(1/2)^(n-1).  Check:  does this formula predict correctly that a(2)  = 24?      a(2) = 48(1/2) = 24.  YES.

a(3) = 12

a(4) = 48(1/2)^(4-1) = 48(1/2)^3 = 48/8 = 6

a(5) = 48(1/2)^5-1) = 48/16 = 3

answer:   c ?

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct