Question 128

In an arithmetic progression the $$8^{th}$$ and $$19^{th}$$ terms are respectively 17 and 39. The $$25^{th}$$ term of it is

Solution

Given, $$8^{th}$$ and $$19^{th}$$ terms of the arithmetic progression are 17 and 39

$$\Rightarrow$$ a+7d = 17 and a+18d = 39

Solving the above two we get 11d = 22

$$\Rightarrow$$ d= 2 and a = 3

Hence 25th term = a+24d = 3 + 24(2) = 51

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