Show that the progression 16, 11, 6, 1, −4,... is an AP.
Write down its first term and the common difference.

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Solution

The given progression is 16, 11, 6, 1, -4,...
Clearly, (11 - 16) = (6 - 11) = (1 - 6) = (-4 - 1) = -5 (Constant)
Thus, each term differs from its preceding term by -5.
So, the given progression is an AP.
Its first term, a is 16 and common difference, d is -5.

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