Consider the arithmetic sequence presented in the table below.

n 57 1

an 74 1,460

Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.

Part A: What is the first term, a1, of the sequence?

Part B: What is the general term equation, an, for this sequence?

Part C: What is the value of the 13th term of this sequence?

failurewithasmile
Apr 14, 2017

#1**+2 **

A. 1st term = 1460

B. We need to solve this

74 = 1460 + d(57 -1)

74 = 1460 + d(56) subtract 1460 from both sides

-1386 = 56d divide both sides by 56

d = -24.75

So the general equation is

a_{n} = 1460 - 24.75(n - 1)

C. The 13th term is

1460 -24.75(13 -1) = 1460 -24.75(12) = 1163

CPhill
Apr 15, 2017