Find the indicated term of the arithmetic sequence with the given description.

Question

The first term is 3580, and the common difference is −16. Which term of the sequence is 2860? 

N=

Answer 1

The nth term, a_n, is given by the formula a_n = a₁ + (n-1)d

 

So, we need to find n so that 2860 = 3580 - 16(n+1)

 

                                           -720 = -16(n-1)

 

                                              45 = n-1

 

                                                n = 46