SOLUTION: what is 75 term of sequence 4,7,10

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Question 893319: what is 75 term of sequence 4,7,10
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
this is an Arithmetic Sequence because the difference between one term and the next is a constant, and equal to 3
in general we could write an arithmetic sequence like this:
{ a, a%2Bd, a%2B2d, a%2B3d, ... }
a+=+1 (the first term)
d+=+3 (the "common difference" between terms)
as a rule for any term:
x%5Bn%5D+=+a+%2B+d%28n-1%29 => we use "n-1" because d is not used in the 1st term
and calculate the 75th term
x%5Bn%5D+=+a+%2B+d%28n-1%29
x%5B75%5D+=+4+%2B+3%2875-1%29=4%2B3%2A74=4%2B222=226