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

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(52790) (Show Source): You can put this solution on YOUR website!
.
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   =  = 0.3 + 29*1.2.   Calculate it on your own.


3c.  Find the sum of the first 30 terms.           It is .    As   use the value that you find at n. 3b.

---------------
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.

RELATED QUESTIONS
Consider the vectors u1 = [1, 1, 1, 1], u2 = [0, 1, 1, 1], u3 = [0, 0, 1, 1] and u4 = [0, (answered by ikleyn)

Find the first ten terms of a sequence whose first two terms are u1= 1 and u2=2 and whose (answered by Fombitz)

The three terms 7x+1, 9x+7, and 3x-4 (not necessarily in order) are 3 consecutive terms... (answered by Edwin McCravy)

Three numbers form an arithmetic sequence. The first term minus the third term is 8. When (answered by htmentor)

Hi. this lesson is really confusing me and I need help with it. These questions are... (answered by ikleyn)

how are you supposed to find the first three terms of an arithmetic sequence if you don't (answered by Edwin McCravy)

When the terms of a Geometric Progression(G.P) with common ratio r=2 is added to the... (answered by greenestamps,jim_thompson5910)

the first term of an arithmetic sequence (AS) is 7 and the common difference is 3 find... (answered by ikleyn)

4. In an arithmetic sequence, the first term is 3 and the second term is 7. a. Find the (answered by Boreal)