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Dennis_Churaev [7]
1 year ago
10

Question 19.Find a formula for the general term of each sequence in exercises?

Mathematics
1 answer:
solniwko [45]1 year ago
4 0

19) Notice that:

\begin{gathered} 2=3\times1-1, \\ 5=3\times2-1, \\ 8=3\times3-1, \\ 11=3\times4-1, \\ 14=3\times5-1. \end{gathered}

Therefore, the nth term has the form:

a_n=3n-1.

Answer:

a_n=3n-1.
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Five of Teddy’s six cousins can
Sliva [168]

Answer: 0.83

Step-by-step explanation:

The fraction of Teddy's cousins what can do push-ups is \frac{5}{6}. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.

\frac{5}{6} =0.83

7 0
3 years ago
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
Divide (13 + 6х2 +11х + 6) by (х + 2)
adoni [48]

Answer:

(13+6x²+11x+6)÷(x+2)

(6x²+11x+19)÷(x+2)

(6x²+11x+19)÷(x+2)

5 0
2 years ago
From its founding through 2012, the Rock and Roll Hall of Fame has inducted 303 groups or individuals. Forty-seven of the induct
motikmotik

The probability of inductees who are female will be 0.155.

<h3>How to illustrate the probability?</h3>

Question: What proportion of inductees have been female or have included female members?

From the information, 303 groups or individuals and forty-seven of the inductees have been female or have included female members.

Therefore, the proportion will be:

= 47/303

= 0.155

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

8 0
2 years ago
Divide nine by three, then subtract two double the results
Nuetrik [128]

Answer:

2

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
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