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B
an AP with common difference 7.
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C
an AP with common difference 3.
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D
not an AP.
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Solution
The correct option is Aan AP with common difference -7. For a sequence to be an AP, the same common difference must exist between any two consecutive terms of AP.
Here, a1=5,a2=−2anda3=−9
a2−a1=−2−5=−7 a3−a2=−9−(−2)=−7
The difference between any two consecutive terms is -7.
Hence, the list of numbers are in AP with common difference -7.