B(n) = -8 - 2(n-1)
Find the 9th term in the sequence.

- 32 is the ans

Step-by-step explanation:

n = 9 now substituting the values we get,

b(9) = -8 - 2(9-1)

here b(9) is same as a9 i.e the 9th term

= -8 - 2(8)

= -8 - 16

= -32

hence the 9th term of the sequence is -32

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)