SOLUTION: Which nth term of the arithmetic sequence 2,7,12 is 152

Algebra ->  Sequences-and-series -> SOLUTION: Which nth term of the arithmetic sequence 2,7,12 is 152      Log On


   

Question 1040843: Which nth term of the arithmetic sequence 2,7,12 is 152
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the nth term of an arithmetic sequence is defined as
:
an = a1 + d(n-1), where a1 is the first term and d is the common difference
:
152 = 2 + 5(n-1)
:
150 = 5n - 5
:
5n = 155
:
n = 31
:
********************
152 is the 31st term
********************
: