In an arithmetic sequence, the first term, a1, is equal to 9, and the sixth term, a6, is
equal to 34. Which number represents the
common difference of the arithmetic
sequence?

See below

Step-by-step explanation:

Add 5 to each preceding number

                = ()+5

19  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

63434  [29+5]

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