Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. 1, 4, 7, 10, . . .

A. add 3 to the previous term; 13, 16
B. multiply the previous term by 3; 13, 90
C. multiply the previous term by 3; 30, 90
D. subtract 3 from the previous term; 7, 4

Option a: add 3 to the previous term; 13, 16

Explanation:

The sequence is 1, 4, 7, 10, ....

We need to determine the next two terms of the sequence.

Hence to find the next two terms, first we shall find the common difference between every two terms.

Common difference between 1 and 4 =

Similarly, common difference between 4 and 7 =

Common difference between 7 and 10 =

Hence, the common difference is 3.

So, the next two terms will also have the same common difference 3.

To determine the next two terms, first we shall add 3 to the term 10, we get,

Similarly, adding 3 to the term 13, we get,

Thus, the sequence is 1, 4, 7, 10, 13, 16, .....

Thus, add 3 to the previous term; 13, 16

Hence, option a is the correct answer.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

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