pimm8ytrucer
Answered

use inductive reasoning to describe the pattern. then find the next two numbers in the pattern. –9, –4, 1, 6, . . . multiply the previous term by 5; 11, 150 multiply the previous term by 5; 30, 150 add 5 to the previous term; 11, 16 subtract 5 from the previous term; 1, –4

Verified Answer :

Jisallyouget

5 is added to each number to create the next number. The next 2 numbers are 11 and 16.

carlosego

For this case we have the following sequence:


\(-9, -4, 1, 6...\)

We observe that we have an arithmetic sequence.

This is because each term has a common difference.

The common difference is:

\(d = -4 - (- 9) = - 4 + 9 = 5\\d = 1 - (- 4) = 1 + 4 = 5\\d = 6-1 = 5\)

Therefore the following two terms are:

\(6 + 5 = 11\\11 + 5 = 16\)

Answer:

Add 5 to the previous term; 11, 16


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