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Based on the data in the table, how many members would you expect there to be in the band in 2018?

Based on the data in the table, how many members would you expect there to be in the-example-1
User Ageoff
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1 Answer

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The sequence formed by the number of members in the group for each year is

40, 46, 54, 64

This is a quadratic sequence because the second difference between consecutive terms is a common number.

Difference between 40 and 46 is 6

Difference between 46 and 54 is 8

Difference between 54 and 64 is 10

We can see that the common difference between 6, 8 and 10 is 2. This means that the difference between the number of band members in 2017 and 2018 is 10 + 2 = 12

Therefore, the number of band members is 2018 is

64 + 12 = 76

User Pete Maroun
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