The first four terms of a sequence are shown below 8,5,2,-1 which of the following function best defines this sequence

D

Step-by-step explanation:

Note the difference between the consecutive terms is constant, that is

5 - 8 = 2 - 5 = - 1 - 2 = - 3

This means that to obtain the next term in the sequence f(n + 1) subtract 3 from the previous term f(n)

Hence

f(n + 1) = f(n) - 3 , with f(1) = 8 , n ≥ 1

As an example the term following - 1

f(5) = f(4) - 3 = - 1 - 3 = - 4

f(6) = f(5) - 3 = - 4 - 3 = - 7 , and so on

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl