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1. Numbers and the Number System

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The term-to-term rule for this sequence of numbers is to add three each time:
[tex]\[401, 404, 407, 410, 413, 416, 419, \ldots\][/tex]

The sequence continues in the same way.

Which of these numbers do not belong to the sequence?
A. 422
B. 428
C. 430
D. 434

Sagot :

GinnyAnsweridn
Certainly! Let’s break this down step-by-step:

1. Given Sequence:
- We have a sequence starting at 401, and each subsequent term is obtained by adding 3 to the previous term.
- The terms of the sequence will be: 401, 404, 407, 410, 413, 416, 419,...

2. Checking Specific Numbers:
- We need to check if the numbers 422, 428, 430, and 434 belong to this sequence.

3. Constructing the Sequence:
- Start with 401.
- Add 3 repeatedly to this starting number to generate the subsequent terms:
- 401 + 3 = 404
- 404 + 3 = 407
- 407 + 3 = 410
- 410 + 3 = 413
- 413 + 3 = 416
- 416 + 3 = 419
- 419 + 3 = 422
- 422 + 3 = 425
- 425 + 3 = 428
- 428 + 3 = 431
- 431 + 3 = 434

4. Identify Belonging Numbers:
- The sequence values between 401 and 434 are: 401, 404, 407, 410, 413, 416, 419, 422, 425, 428, 431, 434.
- From the values given to check (422, 428, 430, 434):
- 422 is in the sequence.
- 428 is in the sequence.
- 430 is not in the sequence.
- 434 is in the sequence.

5. Conclusion:
- Thus, the number that does not belong to the sequence is 430.
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