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Question

Find the 8th term from the end of the AP: 7,10,13,...,184.


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Solution

Evaluate the required term from the given Arithmetic Progression

Given, AP =7,10,13,...,184

As we need to calculate the term from the end, so reverse the AP.

The new AP series will be 184,181,...,13,10,7

Here, a=184,d=-3 and we need to calculate the 8th term

We know that nth term is an=a+(n-1)d

Using this formula, we get

a8=184+(8-1)(-3)a8=184-21a8=163

Therefore, the 8th term from the end is 163.


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