SOLUTION: Find the general term of the set. {2, 4, 6, 8, 10, . . .}

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Question 221454: Find the general term of the set. {2, 4, 6, 8, 10, . . .}


Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Find the general term of the set. {2, 4, 6, 8, 10, . . .}

Step 1. Let n be the index of the nth term. Look for a pattern and it appears to be even numbers.

Step 2. So let 2n be the expression for the general term.

Check n=1, then 2n=2.

Check n=2, then 2n=4. etc.

Step 3. ANSWER: 2n is the general term for n=1,2,....5,...

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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