Given the 5th term is 103 and the common difference is -6, answer the following questions. (4-6)
6. What is the explicit function of this sequence?

Question

supie · Answer

Ok so do you know what has to be done first?

Mercury · Answer

"common difference" so this is an arithmetic sequence

the explicit formula for an arithmetic sequence:

$$a_{n}=a_{1}+(n-1)d$$

you're given the fifth term (so n = 5, and an = 103) along with the common difference d = -6

so plug these in, solve for a1

then re-write the explicit formula, plugging in the a1 and d values only