Simplify the expression: (4p-8/p^3-2p^2-q+2/q^3+2q^2) x p/2q-p
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Hello there!
Given the sequence:
The question reveals it to be geometric sequence since it has common ratio.
<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u><u> </u><u>S</u><u>e</u><u>q</u><u>u</u><u>e</u><u>n</u><u>c</u><u>e</u> / <u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u> </u><u>F</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u>
<u></u>
Define 'r' as common ratio.
First, let's check the common ratio by using the formula above.
<u>R</u><u>a</u><u>t</u><u>i</u><u>o</u><u> </u><u>C</u><u>h</u><u>e</u><u>c</u><u>k</u>
Therefore, the common ratio or r-value is -3.
To find the 7th term of sequence, you can by using the General Geometric Terms.
<u>G</u><u>e</u><u>n</u><u>e</u><u>r</u><u>a</u><u>l</u><u> </u><u>T</u><u>e</u><u>r</u><u>m</u><u> </u><u>o</u><u>f</u><u> </u><u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>
a1 is defined as the first term of sequence.
r is common ratio.
n is the term.
Since we want to find 7th term:
- a1 = 1
- r = -3
- n = 7
Therefore, the 7th term of this sequence is 729.
Let me know if you have any questions!
Topic: Sequence and Series / Geometric Sequence