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kvv77 [185]
2 years ago
5

The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in th

is sequence?
Mathematics
1 answer:
Over [174]2 years ago
8 0
Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.
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Combine the like terms to create an equivalent expression: <br> 2s+(−4s)=?
Sergeeva-Olga [200]

Answer:

2s+\left(-4s\right)=-2s is the equivalent expression as 2s+\left(-4s\right) is equal to -2s.

Step-by-step explanation:

Considering the expression

2s+\left(-4s\right)

As we know that

  • Like terms are said to be the terms which hold the same variables raised to the same power.
  • For example, 3x and 2x are like terms as they contain the same variable x raised to the same power.

Lets solve the expression

2s+\left(-4s\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

2s-4s

\mathrm{Add\:similar\:terms:}\:2s-4s=-2s

-2s

Therefore,

2s+\left(-4s\right)=-2s is the equivalent expression as 2s+\left(-4s\right) is equal to -2s.

Keywords: equivalent expression, like terms

Learn more about equivalent expression from brainly.com/question/8902137

#learnwithBrainly

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