1
Question
The sequence of numbers 5, - 2, -9, -16, ... is
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Solution
The correct option is A an 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=−2 and a3=−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.
For a sequence to be an AP, the same common difference must exist between any two consecutive terms of AP.
Here,
a1=5,a2=−2 and a3=−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.
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