If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?

n = 32

Step-by-step explanation:

an = a1 + (n - 1)d

a4 = a1 + 3d = 16

a8 = a1 + 7d = 32

7d - 3d = 32 - 16

4d = 16

d = 4

a4 = a1 + 3d = 16

a1 + 3(4) = 16

a1 + 12 = 16

a1 = 4

an = 4 + (n - 1)4 = 128

4 + 4n - 4 = 128

4n = 128

n = 32

43.1N

Step-by-step explanation:

this question involves the application of the use of the equations of motion and the newton's law of motion

the parameters are

initial velocity u = 0

distance (s)= 12

mass (m)=5.5kg

t=1.75s

a= acceleration

S= ut + at²

12= (0×1.75) + ( × a × 1.75²)

12= 0 + (1.53125 × a)

12 = 1.53125 × a

a = 12÷1.53125

a= 7.8367m/s²

F=m × a

=5.5 × 7.8367

=43.10N