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solve using tn = a + (n-1)d... where a is the first term, d is the difference between terms and n is the number of the term, so in this case 10. How do I find a and d, or how do I find the tenth term?

Thanks

 May 13, 2015

Best Answer 

 #1
avatar+130466 
+5

 

 

So we have

an = a1 +d(n - 1)    the 4th term is 18 and the 16th term id 48   ......so we have.....

18 = a1 + d(4 - 1)  →  18 =  a1 + 3d

54 = a1 + d(16 -1) →  54 =  a1 + 15d       subtracting the first equation from the second, we have....

 

36   = 12d      so   ...  d = 3

And using the first equation

18 = a1 + 3(3) 

18 = a1 + 9      subtract 9 from each side

9 = a1

 

So....the 10th term is given by

a10 = 9 + 3(10 - 1)

a10 = 9 + 27  =  

36 

 

 

  

 May 13, 2015
 #1
avatar+130466 
+5
Best Answer

 

 

So we have

an = a1 +d(n - 1)    the 4th term is 18 and the 16th term id 48   ......so we have.....

18 = a1 + d(4 - 1)  →  18 =  a1 + 3d

54 = a1 + d(16 -1) →  54 =  a1 + 15d       subtracting the first equation from the second, we have....

 

36   = 12d      so   ...  d = 3

And using the first equation

18 = a1 + 3(3) 

18 = a1 + 9      subtract 9 from each side

9 = a1

 

So....the 10th term is given by

a10 = 9 + 3(10 - 1)

a10 = 9 + 27  =  

36 

 

 

  

CPhill May 13, 2015

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