Find the 50th term of the sequence 5, –2, –9, –16, ...

–352
–343
–338
–331

Question

Find the 50th term of the sequence 5, –2, –9, –16, ...

    –352
    –343
    –338
    –331

anonymous · Answer

5.   Find the 50th term of the sequence 5, –2, –9, –16, ...   (1 point)
  (0 pts) –352
  (0 pts) –343
  (1 pt) –338
  (0 pts) –331
1 /1 point

campbell_st · Answer

ok... the sequence is arithmetic

so use the formula for a term in an arthmetic sequence

$$T_{n} = a + (n - 1) d$$   a= 1st term, n = number of terms d = common difference

so 

$$T_{50} = 5 + (50 -1) \times (-7)$$

just evaluate for the answer

anonymous · Answer

a1 would be the first term(5)
nth term = 50 
an=a1+(n-1)(d)
a50=5+(50-1)(-7)
a50=5-7(49)= -338