Based on the pattern in the table, what is the value of a?

Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a

Respuesta :

Answer: StartFraction 1 Over 64 EndFraction

Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.

(I could be wrong, hopefully I'm Not)

The required value of a is 1/64.

Table is given y = [tex]2^x[/tex]
X =   -1     -2     -3    -4     -5      -6
Y =  1/2    1/4   1/8  1/16   1/32     a
Value of a tube determine.

What is geometric progression?

Geometric progression is sequence of series whose ratio with adjacent values remains same.

For a
y = [tex]2^x[/tex]
put 6 in above equation
a = 2^-6
a = 1/2^6
a = 1/64

Thus, The required value of a is 1/64.

Learn more about geometric progression here: https://brainly.com/question/4853032

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