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Arithmetic progression with the first term 5 and the common difference d = (-2-5) = -7.
The n-th term is = + d*(n-1).
In your case = 5 + (-7)*(n-1). (1)
To find , substitute n= 50 into the formula (1) and calculate.
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For introductory lessons on arithmetic progressions see
- Arithmetic progressions
- The proofs of the formulas for arithmetic progressions
- Problems on arithmetic progressions
- Word problems on arithmetic progressions
in this site.