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Find the 20th term in the sequence, where the first term is -2 and the common ratio is-2.

Find a8 of the sequence 1,000, 200, 40, 8


What is the common ratio of a geometric sequence whose first term is 2 and whose 3rd term is 50.

Sagot :

Answer:

Step-by-step explanation:

(1)

a1=-2

r=-2

[tex]a_{20}=(-2)(-2)^{20-1}=-2(-2)^{19}=2^{20}=1048576\\(2)\\a_{1}=1000\\r=\frac{200}{1000} =\frac{1}{5} \\a_{8}=1000(\frac{1}{5} )^{8-1}=1000(.2)^7=0.0128\\(3)\\a_{1}=2\\a_{3}=50\\a_{2}=\sqrt{2*50} =10\\r=\frac{10}{2} =5[/tex]

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