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The Wholesome Bakery baked 1 loaf of bread on Monday, 7 loaves of bread on Tuesday, 49 loaves of bread on Wednesday, and 343 loaves of bread on Thursday. What kind of sequence is this?

Question

The Wholesome Bakery baked 1 loaf of bread on Monday, 7 loaves of bread on Tuesday, 49 loaves of bread on Wednesday, and 343 loaves of bread on Thursday. What kind of sequence is this?

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Solution

This is a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this case, the common ratio is 7.

Here's how you can identify it:

  • From Monday to Tuesday: 7/1 = 7
  • From Tuesday to Wednesday: 49/7 = 7
  • From Wednesday to Thursday: 343/49 = 7

In each case, you're multiplying by 7 to get the next term, so this is a geometric sequence with a common ratio of 7.

This problem has been solved

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