find the 50th term sequence 5 , -2 , -9 , -16
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