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2 years ago

12

Solve for x. Round your answer to the nearest tenth if necessary.

1 answer:

eduard2 years ago

7 0

Answer: 15.9

Step-by-step explanation:

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given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

3 years ago

Jack wants to buy a pair of trousers for $60. When he went to the store he found that the e. price was marked down by 20%. How m

kenny6666 [7]

The price is $18 now

4 0

3 years ago

If C = 1+ p2 + 3p and B = 2p + 6p, find an expression that equals 2C – – B in

drek231 [11]

Answer:

2p² + 14p + 2

Step-by-step explanation:

Given that;

C= 1+p²+3p

B=2p+6p

The expression that equals to : 2C - -B will be;

2{1+p²+3p} - {-2p-6p}

2+2p²+6p + 2p + 6p

2p² + 6p +2p +6p +2

2p² + 14p + 2

4 0

3 years ago

Two enterprising college students decide to start a business. They will make up and deliver helium balloon bouquets for special

Dvinal [7]

I think it's the second equation. I could be wrong but I think that's what it is

6 0

3 years ago

Read 2 more answers

2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?

KengaRu [80]

Answer:

133 girls

Step-by-step explanation:

Total members = x

Number of boys = $\frac{2}{9}x$

Number of girls = $\frac{2}{9}x +95$

Number of boys + Number of girls = total members

$\frac{2}{9}x+\frac{2}{9}x+95=x\\\\\frac{2}{9}x+\frac{2}{9}x=x -95\\\\\frac{2}{9}x+\frac{2}{9}x-x=-95\\\\\frac{4}{9}x-x = -95\\\\\frac{4}{9}x-\frac{9}{9}x = -95\\\\\frac{-5}{9}x=-95\\\\x = -95*\frac{9}{-5}\\\\x=19*9$

x = 171

Number of boys = $\frac{2}{9}*171$ = 2 * 19 = 38

Number of girls = 38 + 95 = 133

5 0

3 years ago