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The N T H Term of the A. P. 3, 8, 13, 18, ............ is 148. Find N - Algebra

The` "n"^(th)` term of the A. P. 3, 8, 13, 18, ............ is 148. Find n 

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Solution

The A. P. is 3, 8, 13, 18, ............
Let the nth term of the A. P. be 148.
a = 3, d = 5 and ` t_n` = 148

`t_n=a+(n-1)d` 

`148=3+(n-1)5` 

      =`3+5n-5` 

∴`5_n=148+2=150` 

∴` n=30` 

∴` 30^(th)  "term is"  148` 

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