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Andrews [41]
2 years ago
14

Find the first 4 terms in each sequence​

Mathematics
1 answer:
koban [17]2 years ago
5 0

Answer:

a₁ = -21  (Given)

a₂ = -28

a₃ = -35

a₄ = -42

Step-by-step explanation:

First term a₁ = -21  (Given)

…………………………………

Second term a₂ :

a₂ = a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28

…………………………………

Third term a₃ :

a₃ = a_{3-1} - 7\\a_{2} - 7\\a_{2} = -28\\-28 - 7 = -35

…………………………………

Fourth term a₄ :

a₄ = a_{4-1} - 7\\a_{3} - 7\\a_{3} = -35\\-35 - 7 = -42

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Simplify.
marin [14]

1/2+(3/8−1/8)^2

= 1/2+(2/8)^2

= 1/2+(1/4)^2

= 1/2 + 1/16

= 8/16 + 1/16

= 9/16

Answer

9/16

3 0
3 years ago
Read 2 more answers
3. Suppose the mystery bag had resulted in the following number of red chips. Using the simulated sampling distributions found e
Vinvika [58]

Answer:

a) 0.172

b) 0.167

c) 0.1404

Step-by-step explanation:

Margin of error, E = 2\times\sqrt{\frac{p(1-p)}{n}}

here,

p = probability of the event

n = sample size

a) n = 30

p = 10 ÷ 30 = 0.333

Therefore,

E = 2\times\sqrt{\frac{0.333(1-0.333)}{30}}

= 2 × 0.0861

= 0.172

b)  n = 30

p = 21 ÷ 30 = 0.7

Therefore,

E = 2\times\sqrt{\frac{0.7(1-0.7)}{30}}

= 2 × 0.0836

= 0.167

c) n = 30

p = 22 ÷ 50 = 0.44

Therefore,

E = 2\times\sqrt{\frac{0.44(1-0.44)}{50}}

= 2 × 0.0702

= 0.1404

3 0
3 years ago
Determine the slope of the line that passes through the points (9, -3) and (-9, -6).
vlabodo [156]

The slope of the line would be 1/6x

3 0
2 years ago
Read 2 more answers
6. In the expression shown x represents a rational
babymother [125]

Answer:

d

Step-by-step explanation:

7/5 is greater than 1

sorry if this is wrong

4 0
2 years ago
Penny has a cup containing 10 quarters, 8 dimes, and 2 nickels. If Penny randomly draws with replacement, find the probability s
kogti [31]

Answer:

0.4%

Step-by-step explanation:

In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.

This probability would be the amount of dimes divided by the total number of coins, as follows:

Total coins = 10 + 8 + 2 = 20 coins.

So the probability would be: 8/20 = 2/5

The final probability would then be:

(2/5) ^ 6 = 0.004

In other words, the probability of this event occurring 6 times in a row is 0.4%

7 0
3 years ago
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