High School

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------------------------------------------------ Determine the first four terms of the following set:

\[
\{178, x \mid x \text{ is a natural number, } x + 8\}
\]

A. 178, 179, 180, 181
B. 178, 9, 187, 196
C. 178, 179, 180, 181 + x
D. 178, 179, 180, 181 + 8

Answer :

Final answer:

The first four terms of the set starting with 178, where each term is increased by 8 from the previous, are 178, 186, 194, and 202.

Explanation:

The question asks us to determine the first four terms of the set that starts with 178 and then continues with each following number being a natural number incremented by 8 from the previous one. The first term is given as 178. To find the subsequent terms, we add 8 to the previous term. Therefore, the second term is 178 + 8 = 186, the third term is 186 + 8 = 194, and the fourth term is 194 + 8 = 202. So the first four terms of the set are 178, 186, 194, and 202.

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