The nth term from the end of an A.P., whose first term, last term and common difference are a, l and d respectively, is given by:
l + (n + 1)d
l − (n − 1)d
l + (n − 1)d
l − (n + 1)d
AP
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Question

The nth term from the end of an A.P., whose first term, last term and common difference are a, l and d respectively, is given by:
l + (n + 1)d
l − (n − 1)d
l + (n − 1)d
l − (n + 1)d

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KnowledgeBoat · Accepted Answer

Since, we need to calculate term from end.

So, first term will be equal to last term and common difference will be negative of the original difference.

∴ T_end = l + (n - 1)(-d)

= l - (n - 1)d.

Hence, option 2 is the correct option.