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

–352
–343
–338
–331

The sequence 5, -2, -9, -16... is a arithmetric sequence with the difference between a number and its succeding term is -7. The formua for getting the nth term of an arithmetric sequence is 

where  is the nth term
is the first term
n is the number of terms
d is the difference

The first term in the sequence is 5. You need to find the 50th term so n is 50. The difference (d) is -7. Substituting these values in the equation, we get the final answer


The 50th term is -338.