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vagabundo [1.1K]
3 years ago
6

What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374

Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

alexandr402 [8]3 years ago
7 0

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is a_{n} =a_{1} +(n-1)d a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get a_{n} =-15+(35-1)4. And if you simplify you would get a_{n} =121.

Than for the other one we would do the same thing so you would get a_{n} = 121+(35-1)4 and if you simplify you would get a_{n} =257.

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Read 2 more answers
The weekly sales of Honolulu Red Oranges is given by q = 990 − 22p. Calculate the price elasticity of demand when the price is $
elena55 [62]

Answer:

E = -2. The demand is going down by 2% per 1% increase in price at that price level.

The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5

Step-by-step explanation:

The overall demand formula: Q = aP + b

Q = 990 - 22P

<u>Demand elasticity:</u>

At P = $30, the Q = 990 - 22×30 = 330. a = \frac{dQ}{dP} = -22

The formula for demand elasticity: E = \frac{dQ}{dP}×\frac{P}{Q}

Demand elasticity at $30: E = -22 × \frac{30}{330} = -2

So, The demand will be going down by 2% if 1% increase in price.

<u>Revenue:</u>

R = P×Q = P×(990 - 22P) = -22P² - 990P

R' = -44P - 990. The revenue is maximum when R' = 0

⇔0 = -44P - 990 ⇔ P = $22.5

At the P = $22.5, the Q = 990 - 22×22.5 = 495.

The maximum revenue = $22.5×495 = $11,137.5

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3 years ago
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