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Question
The sequence of numbers 5, - 2, -9, -16, ... is
Options:
A .  an AP with common difference -7.
B .  an AP with common difference 7.
C .  an AP with common difference 3.
D .  not an AP.
Answer: Option A
:
A
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
a2a1=25=7
a3a2=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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