SOLUTION: a sub 1 =1; d=1. Give the first six term

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Question 975143: a sub 1 =1; d=1. Give the first six term
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

In an Arithmetic Sequence the difference between one term and the next is a constant.
In General we could write an arithmetic sequence like this:
{ a%5B1%5D, a%5B1%5D%2Bd, a%5B1%5D%2B2d, a%5B1%5D%2B3d, ... }
where:
a%5B1%5D is the first term, and
d+is the difference between the terms (called the "common difference")
you are given: a%5B1%5D=1 and d=1 and you need to find first six terms
so, it is
a%5B1%5D, a%5B1%5D%2Bd, a%5B1%5D%2B2d, a%5B1%5D%2B3d,a%5B1%5D%2B4d,a%5B1%5D%2B5d,
substitute a%5B1%5D=1 and d=1

1, 1%2B1, 1%2B2%2A1, 1%2B3%2A1,1%2B4%2A1,1%2B5%2A1,

1, 2, 3, 4,5,6

you could do it without all that above; simply, if you know first term is 1 and common difference is 1, means each next term is 1 greater than previous term
so, if first term is 1, next term is 2, next term is 3, and so on