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Evaluate the sequence

For the sequence An=2+5*(n-1),
the first term is?
the second term is?
the third term is?
the fourth term is?
the fifth term is?
the common difference (d) is?
 
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1 Answer

Hi Dalia:
 
An = 2 + 5*(n-1), where n= 1, 2, 3, ...
 
The first term occurs when n=1:
 
A1 = 2 + 5(1-1) = 2
 
The other terms work the same way, just plug in the different values of n (n = 2, 3, 4, 5).
 
The common difference is just the difference between one term and the next one after it.  To compute it, do the following subtraction:
 
Common Difference = An+1 - An
 
where
 
An+1 = 2 + 5((n+1) - 1) = 5n + 2
An = 2 + 5(n-1) = 2 + 5n - 5 = 5n - 3
 
Subtract An from An+1 to get the answer.  Let me know what you get in the comments and I'll let you if it's right.