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2 years ago

If a1= 3 and an= 2an-1 then find the value of 06.

Mathematics

1 answer:

I am Lyosha [343]2 years ago

8 0

Answer:

a₆ = 96

Step-by-step explanation:

assuming you mean find a₆

using the recursive rule and a₁ = 3 , then

a₂ 2a₁ = 2 × 3 = 6

a₃ = 2a₂ = 2 × 6 = 12

a₄ = 2a₃ = 2 × 12 = 24

a₅ = 2a₄ = 2 × 24 = 48

a₆ = 2a₅ = 2 × 48 = 96

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Vanyuwa [196]

Answer:

Range = $115

Variance = $1915.2857

Standard deviation = $43.764

Step-by-step explanation:

Given the data:

234 160 119 131 218 207 146 141

Arranging in ascending order :

119, 131, 141, 146, 160, 207, 218, 234

The range = maximum - minimum

The range = 234 - 119 = 115

The variance :

Σ(x - mean)²/n-1

The mean = Σx / n

The mean = 1356 / 8 = 169.5

Variance :

Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407

n - 1 = 8 - 1 = 7

Variance = 13407 / 7 = 1915.2857

Standard deviation = √variance

Standard deviation = √1915.2857

Standard deviation = $43.764

8 0

2 years ago

Stacey's fruit salad recipe uses proportional amounts of different fruits. There are 2 cups of grapes for every 5 cups of pineap

jenyasd209 [6]

Answer:

If 5 p = 2 g then g = 5 p / 2 = 2.5 p

4 0

3 years ago

Read 2 more answers

Z^m-n (z^m+ z^m+n + z^n)

rusak2 [61]

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

8 0

2 years ago

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 122 degrees, what does ADC measures

iren2701 [21]

Answer:

61°

Step-by-step explanation:

Angle extended to the circumference is half the angle at the centre

ADC = ½ ABC = ½ × 122 = 61

5 0

3 years ago

Can u please help me with question c

densk [106]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y-axis

a point (x, y ) → (- x, y )

Hence

A'(-5, - 3 ) → A''(5, - 3 )

B'(4, 4 ) → B''(- 4, 4 )

C'(4, 2 ) → C''(- 4, 2 )

D'(- 2, - 1 ) → D''(2, - 1 )

8 0

2 years ago