
Kenneth S. answered 03/04/16
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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
The first term of an arithmetic sequence is 3 and the eleventh term is 23. Find the expression to find the nth term.
To get from term #1 to term #11, there must be 10 steps, adding a constant d each time. The difference 23 - 3 is accounted for by 10d, so 10 d = 20. Therefore d = 2.
The formula for the nth term is an = 3 + 2(n-1). Check it out--substitute n = 11; the