(3) Similarly, use information about the seventh term to form an equation. (2) Use the information about the fifth term to form an equation. (1) Write the general rule for the nth term of a geometric sequence. Find the common ratio, r, the first term, a, and the nth term for the sequence. The fifth term in a geometric sequence is 14 and the seventh term is 0.56. (6) Find the 10th term by substituting n=10 into each of the two expressions for the nth term. Because there are two possible values for r, you must show both expressions for the nth term of the sequence. (5) Substitute the values of a and r into the general equation. (4) Solve for r (note that there are two possible solutions) (3) Substitute all known values into the general formula. (2) State the value of a (the first term in the sequence) and the value of the third term. (1) Write the general formula for the nth term in the geometric sequence. (7) Substitute the values of a and r into the general formula.įind the nth term and the 10th term in the geometric sequence where the first term is 3 and the third term is 12. (5) Write the general formula for the nth term of the geometric sequence. (4) Because the sequence is geometric, find the fourth term by multiplying the preceding (third) term by the common ratio. The sequence is geometric with the common ratio r=3. (3) Compare the ratios and make your conclusion. If it is geometric find the next term in the sequence, t 4, and the nth term for the sequence, t n. State whether the sequence t n: is geometric by finding the ratio of successive terms. ∴ the sequence is geometric with u 1=8 and r=½. Consider the sequence 8, 4, 2, 1, ½, …Ĭ) Hence, find the 12th term as a fraction.Ĭonsecutive terms have a common ratio of ½. Hence, term number n, the power of r is one less than the term number ( n-1).įor a geometric sequence with first term u 1 and common ratio r, the general term or nth term is u n= u 1⋅ r ( n-1).Įxample 1. Then u 2= u 1 r, u 3= u 1⋅ r 2, u 4= u 1⋅ r 3, and so on.
Nth term equation maker software#
It has really helped me ever since I started using it, but just in case the software doesn’t do the trick for you then they also have an unconditional money back guarantee which can be availed.Suppose the first term of a geometric sequence is u 1 and the common ratio is r. Any links for ordering this software online ? Sounds like something I need to purchase right away. It is a very nice piece of software and I would recommend it to every student who has problems with their homework. Why not give it a try ?Īlgebrator has guided students all over the world. What is pretty about it is that it hand holds you to the solutions rather than plainly providing the answer. I would pick Algebrator for the kind of clarification that you are in the hunt for.
It came across to me as fine as any tutor can be. There are some good math software that you can explore. If you are not able to get a good guidance or some one to sit and sort out your problem or if the cost is too high, then there might be another solution to your problem. How about some more information on your trouble with nth term using simultaneous equations? I might be able to throw some light on. I'm in Basic Math now, so I've been studying things like nth term using simultaneous equations and it's not easy at all. If anyone tried such a program, I would really appreciate some more information about it. Is this really true? Is there a software that can help me with math? I have never tried one before, but they are probably not hard to use I assume.
Hi everyone, I heard that there are various software that can help with us doing our homework,like a tutor substitute.
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