What is the 35th term of the arithmetic sequence where a1 = 13 and a17 = -67

Question

campbell_st · Answer

well you need to find the common difference... 

a term in an arithmetic sequence is 

$$a_{n} = a_{1} + (n - 1)d$$

a1 = 1st term, n = number of terms   a(n) is the nth term

you know the 1st and 17th ... so you can find d, the common difference

$$-67 = 13 + (17 - 1) \times d$$

solve for d

when you get d.... 


use the equation at the top with a1 = 13 n = 35 and d which you just found


hope it helps

anonymous · Answer

I just need the answer really fast please

anonymous · Answer

I got -96 as the difference

anonymous · Answer

@campbell_st

campbell_st · Answer

so what did you get for the common difference...d?

campbell_st · Answer

if you simplify the equation to find the common difference you are looking at 

-80 = 16d

solve for d