(note: this symbol "*" will be used to express variables that go under the number, like a reverse exponent.)find the 4th term in the sequence with the following definition:
a*1=2
a*n=(a*n-1)^2

256

Step-by-step explanation:

a₁ = 2

aₙ = (aₙ₋₁)²

a₂ = (a₂₋₁)²

a₂ = (a₁)²

a₂ = (2)²

a₂ = 4

a₃ = (a₃₋₁)²

a₃ = (a₂)²

a₃ = (4)²

a₃ = 16

a₄ = (a₄₋₁)²

a₄ = (a₃)²

a₄ = (16)²

a₄ = 256

Side walk one

Slope = ( 7 – 3 ) / ( 2 -0 ) = 2

Solve for y intercept b

Y = mx + b

7 = 2(2) + b

B = 3

Y = 2x + 3

Side waik 2

Slope = ( 5 – 3) / (1 – 3) = -1

Solve for y intercept b

Y = mx + b

 5 = -1(1) + b

B = 6

Y = -x + 6

Solving the two equation

X = 1

Y = 5

The equation are consistent independent because they intersect at one point