SOLUTION: 4. In an arithmetic sequence, the first term is 3 and the second term is 7. a. Find the common difference. b. Find the tenth term. c. Find the sum of the first ten terms of t

Algebra ->  Functions -> SOLUTION: 4. In an arithmetic sequence, the first term is 3 and the second term is 7. a. Find the common difference. b. Find the tenth term. c. Find the sum of the first ten terms of t      Log On


   



Question 1104001: 4. In an arithmetic sequence, the first term is 3 and the second term is 7.
a. Find the common difference.
b. Find the tenth term.
c. Find the sum of the first ten terms of the sequence.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The common difference is 4, the difference between each term.
The tenth term is
a10=a1+(n-1)d
=3+9(4)=39
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Sum is (n/2)(a1+a10)=5(3+39)=5(42)=210; the 5 comes from n/2 and n is 10 terms.
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series is 3,7,11,15,19,23,27,31,35,39
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