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I need help anyone can someone explain or give me the answers
In the following geometric sequence,find the missing terms
3,?,?,15
Write the missing terms of the geometric sequence
3,_,_,15
(Type the exact answer,using radicals as needed)
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You are given the geometric progression with the first term 3.
The second and the third terms are omitted, and you need to restore them.
But you are given the fourth term instead, which is 15.
OK. You, probably, know that in a geometric progression
= ,
where r is the common ratio.
So, we have
= 3*r, = = (3*r)*r = , = = = .
You are given = 15, so your equation is
= 15.
Hence, = = 5, and r = .
Therefore,
= 3*r = ,
= = .
Thus you found your missing terms. They are and