Question

Use inductive reasoning to describe the pattern, then find the next two numbers in the pattern:
-9, -4, 1, 6...
A. Add 5 to the previous term; 11, 16
B. Multiply the previous term by 5; 30, 150
C. Subtract 5 from the previous term; 1, -4
D. Multiply the previous term by 5; 11, 150

Answer 1

Answer:

A. is the correct answer

Answer 2

Answer:

The Final Answer is A

Step-by-step explanation:

Induction can be basically summarized as the trial and error method. Basically we find a pattern here by applying the trial and error method in which we select the appropriate pattern and apply it n times. If the pattern is correct n times then it is the right answer.

Here we have the pattern -9 , -4 , 1 , 6 ...

To find the pattern we subtract the second term from the first

-4 - (-9) = 5

We do the same for the second and third term

1 - (-4) = 5

Same for the next

6 - 1 = 5

And so on until the n+1th term

an+1 - an = 5

Hence, Proved A is the answer.

How to find AP

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