Complete the sequence of numbers in this set. Explain the pattern.
7.5, 6.25, 5, ___, ___

The complete sequence will be:

7.5, 6.25, 5, 3.75, 2.50

This is an arithmetic sequence. The formula to find the nth term of an arithmetic sequence is:

= a + (n - 1)d

where,

a = first term = 7.5

n = number of terms

d = common difference = 6.25 - 7.5 = -1.25

Therefore, 4th term will be:

= a + (n - 1)d

where, n = 4

= a + (4 - 1)d

= a + 3d

= 7.5 + 3(-1.25)

= 7.5 - 3.75

4th term = 3.75

5th term will be:

= a + (n - 1)d

where, n = 5

= a + (5 - 1)d

= a + 4d

= 7.5 + 4(-1.25)

= 7.5 - 5.0

5th term = 2.5

In conclusion, the 4th and 5th terms are 3.75 and 2.5.

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