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hram777 [196]
3 years ago
13

A recursive rule for an arithmetic sequence is a1=−3;an=an-1+7

Mathematics
2 answers:
babunello [35]3 years ago
7 0

Answer:

a_{n}=7n-10

Step-by-step explanation:

Givens

a_{1}=-3\\a_{n}=a_{n-1} +7

The formula to find the iterative rule of an arithmetic sequence is

a_{n}=a_{1}+(n-1)d

Where d=7 and a_{1}=-3, replacing these values, we have

a_{n}=-3+(n-1)7\\ a_{n}=7n-7-3\\ a_{n}=7n-10

Therefore, the right answer is the first choice: a_{n}=7n-10

charle [14.2K]3 years ago
6 0
C is the answer. Hope you get a good grade
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3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.
umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

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2 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Find the Polynomial with roots 3, -2, and 0.<br><br> Urgent!!! Help
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Answer:

Step-by-step explanation:

5 0
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nasty-shy [4]
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