Answer :

5 - 7 = - 2 ;
- 2 - 7 = - 9 ;
-9 - 7 = -16 ;
"common difference" d is - 7 ;
The n-th term of an arithmetic sequence is of the form an = a1 + (n – 1)d ;
a50 = 5 + 49 × ( - 7 ) = 5 - 343 = - 338;

The 50th therm of the sequence is -338

So therefor the answer is -338

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