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boyakko [2]
3 years ago
10

Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul

a. a1=4 r=5
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is a_{n+1} = 5a_{n-1}
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AnnyKZ [126]
Recall the slope intercept form of an equation is:

y = mx + c, where m is the slope and c = vertical intercept.

y + 2 = 5x + 4

y + 2 = 5x + 4

y = 5x + 4 - 2

y = 5x + 2

So the slope intercept form is y = 5x + 2

Hope this helps.
7 0
3 years ago
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
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3 0
2 years ago
Which point is on the graph of the equation y = 2 x - 5?
Aneli [31]

Answer:

4

Step-by-step explanation:

the correct answer is number 4

if X = 2 ==> 2x -5 = 2(2) -5 = 4 - 5 = -1

4 0
3 years ago
Read 2 more answers
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xz_007 [3.2K]

Answer:

\frac{16}{195}

Step-by-step explanation:

To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that

\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}

Substituting a,b,c and d for 8,15,2 and 13 we obtain that

\frac{8}{15}* \frac{2}{13} =\frac{16}{195}

3 0
3 years ago
Please help this is the easiest question ever.
Elodia [21]
The answer to this question is 22
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3 years ago
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