If
then we also have
Pairing up the terms, we can find that
consists of terms, so there are copies of in the sum . Then we find an immediate closed form for the sum:
The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).
or
From the options given, the options that have geometric sequences are:
r = (3/8)/(3/16) = (3/4)/(3/8) = 2 (proves that it is a geometric sequence)
- 3, 9, 27, 81
- r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)
Learn more about geometric sequence here:
brainly.com/question/1509142
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Answer:
Step-by-step explanation:
Given data
let hats be h
and shirts be s
Rob brought a hat and 3 shirts for 35$. Dan brought 2 hats
h+3s= 35--------1
and a shirt for 20$
2h+s= 20--------2
Hence the systems of equations is given as
h+3s= 35--------1
2h+s= 20--------2
Answer:
B) 1
Step-by-step explanation: