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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
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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

 

an  = 1460 - 24.75(n - 1)

 

 

C. The 13th term is

 

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

 

 

cool cool cool

CPhill  Apr 15, 2017

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