SOLUTION: 3a. The first three terms of an arithmetic sequence are u1 = 0.3, u2 = 1.5, u3 = 2.7. Find the common difference. 3b. Find the 30th term of the sequence. 3c. Find the sum of

Algebra ->  Sequences-and-series -> SOLUTION: 3a. The first three terms of an arithmetic sequence are u1 = 0.3, u2 = 1.5, u3 = 2.7. Find the common difference. 3b. Find the 30th term of the sequence. 3c. Find the sum of       Log On


   

Question 1096826: 3a. The first three terms of an arithmetic sequence are u1 = 0.3, u2 = 1.5, u3 = 2.7.
Find the common difference.
3b. Find the 30th term of the sequence.
3c. Find the sum of the first 30 terms.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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The first three terms of an arithmetic sequence are u1 = 0.3, u2 = 1.5, u3 = 2.7. 

3a.  Find the common difference.                   It is  u2-u1 = 1.5 - 0.3 = 1.2.



3b.  Find the 30th term of the sequence.           It is  u%5B30%5D = u%5B1%5D%2B29%2A1.2 = 0.3 + 29*1.2.   Calculate it on your own.


3c.  Find the sum of the first 30 terms.           It is %28%28u%5B1%5D%2Bu%5B30%5D%29%2F2%29%2A30.    As  u%5B30%5D use the value that you find at n. 3b.


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On arithmetic progressions, see introductory lessons in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Solved problems on arithmetic progressions


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.