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Tom reads 2 pages on Monday, 6 pages on Tuesday, 18 pages on Wednesday, and 54 pages on Thursday. If this pattern continues, how many pages will he read on Friday?

Mathematics

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Answer

162\text{162}

Step-by-step solution

2 steps
  1. Identify the pattern in the number of pages Tom reads.

    The number of pages read each day is:
    Monday: 2 pages
    Tuesday: 6 pages
    Wednesday: 18 pages
    Thursday: 54 pages

    Let's find the ratio between consecutive days:

    Pages on TuesdayPages on Monday=62=3\frac{\text{Pages on Tuesday}}{\text{Pages on Monday}} = \frac{6}{2} = 3 Pages on WednesdayPages on Tuesday=186=3\frac{\text{Pages on Wednesday}}{\text{Pages on Tuesday}} = \frac{18}{6} = 3 Pages on ThursdayPages on Wednesday=5418=3\frac{\text{Pages on Thursday}}{\text{Pages on Wednesday}} = \frac{54}{18} = 3

    The pattern shows that Tom reads 3 times the number of pages he read the previous day.

  2. Calculate the number of pages Tom will read on the next day (Friday).

    Following the pattern, the number of pages Tom will read on Friday will be 3 times the number of pages he read on Thursday.

    Pages on Friday=54×3=162\text{Pages on Friday} = 54 \times 3 = 162

    If this pattern continues, Tom will read 162\boxed{\text{162}} pages.

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