What is a1 for the geometric sequence for which a8= -3584 and a3 = 112 ?

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence ,

and 3rd term of Geometric Sequence,

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

So,

So,

Therefore, The first term is 28.

b

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)