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adell [148]
2 years ago
13

Need help with geometric sequences 30 points

Mathematics
1 answer:
NeTakaya2 years ago
8 0

Answer:

a_{n} = 6(5)^{n-1}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 6 and r = 30 ÷ 6 = 5, thus

a_{n} = 6(5)^{n-1}

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1. 10(.15)=1.5
Fed [463]

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)  <u> 6.14125(0.15) = 0.9211875   (below -one)</u>

8 ) <u> 6.14125 - 0.9211875 = 5.2200625 (get number 5)</u>

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

3 0
2 years ago
Find the distance between the points (7,23) and (3,-3), rounded to the hundredths place​
Molodets [167]

Answer:

26.31

Step-by-step explanation:

Use distance formula

d = \sqrt{(x_{2}-x_{1)^{2} + (y_{2}-y_ ^{1)^2} }  }

substitute in points and solve

d =  \sqrt{(7-3)^2 + (23-(-3))^{2} }

d = \sqrt{4^{2}+26^{2}  }

d = \sqrt{16 + 676}

d = \sqrt{692}

d = 26.30589288

d = 26.31 rounded

5 0
2 years ago
mike purchases a $11,350 car w/a loan from a credit union that requires a 20% down payment. What will mike borrow from the credi
Y_Kistochka [10]
Answer
if for 100% we have 20% and for $11350
11350×20÷100=$2270
mike will be borrowed $2270
8 0
3 years ago
Can someone help me with the math problem -3 3/10+4 1/3=
ELEN [110]

Answer:

31/30

Step-by-step explanation:

-3 3/10+4 1/3

-3 9/30+4 10/30

31/30

6 0
3 years ago
Read 2 more answers
What is the voulme of a cube with the side length of 5
aksik [14]

Answer:

This is the correct answer

Step-by-step explanation:

The V = 125

3 0
2 years ago
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