To find the pattern in the sequence –9, –4, 1, 6, let’s first examine the differences between successive terms:
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From –9 to –4, the difference is: \(-4 - (-9) = -4 + 9 = 5\)
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From –4 to 1, the difference is: \(1 - (-4) = 1 + 4 = 5\)
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From 1 to 6, the difference is: \(6 - 1 = 5\)
We can see that the difference between each pair of successive terms is consistently 5.
Using this pattern, we can find the next two numbers by continuing to add 5 to the last number (6):
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Next number: \(6 + 5 = 11\)
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Following number: \(11 + 5 = 16\)
Thus, the next two numbers in the pattern are 11 and 16.