SOLUTION: Find an equation for the nth term of the arithmetic sequence. a10 = 32, a12 = 106 given choices an = -301 + 37(n - 1) an = -301 + 37(n - 2) an = -301 + 37(n + 1)

Algebra ->  Trigonometry-basics -> SOLUTION: Find an equation for the nth term of the arithmetic sequence. a10 = 32, a12 = 106 given choices an = -301 + 37(n - 1) an = -301 + 37(n - 2) an = -301 + 37(n + 1)       Log On


   

Question 1134905: Find an equation for the nth term of the arithmetic sequence.
a10 = 32, a12 = 106
given choices
an = -301 + 37(n - 1)

an = -301 + 37(n - 2)

an = -301 + 37(n + 1)

an = -301 - 37(n + 1)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
an=a1+ d(n-1),
The difference between a10 and a12 is 74 so d is half that or 37
an=a1+37(n-1)
a10=a1+37(9)
32=a1+333
a1=-301
an=-301+37(n-1)
The first or top choice is correct.