SOLUTION: Find the fourth term of a geometric sequence whose first term is 2 and whose common ratio is 3. ---The answer I got is 54. Can someone confirm that this is correct? And if it's

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Find the fourth term of a geometric sequence whose first term is 2 and whose common ratio is 3. ---The answer I got is 54. Can someone confirm that this is correct? And if it's       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1091282: Find the fourth term of a geometric sequence whose first term is 2 and whose common ratio is 3.
---The answer I got is 54. Can someone confirm that this is correct? And if it's not, show me the steps to solve? Thanks!

Found 2 solutions by ikleyn, Tatiana_Stebko:
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.
a%5B4%5D = a%5B1%5D%2Ar%5E3 = 2%2A3%5E3 = 2*27 = 54.


Your answer is correct.


----------------
On geometric progressions, see the lessons in this site
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
    - One characteristic property of geometric progressions
    - Solved problems on geometric progressions
    - Fresh, sweet and crispy problem on arithmetic and geometric progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric


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 "Geometric progressions".



Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
your answer is correct
.
.
Any term we can find using the Ruler b%5Bn%5D=b%5B1%5D%2Ar%5E%28n-1%29
For the fourth term: b%5B4%5D=b%5B1%5D%2Ar%5E3
b%5B1%5D=2, r=3
b%5B4%5D=2%2A3%5E3=2%2A27=54
Answer: 54