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MariettaO [177]
3 years ago
10

I need help with this question

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer: Choice A) x > -3

There's an open hole at -3 and shading to the right of this hole.

The hole indicates "do not include this endpoint". So we won't have an "or equal to" as part of the inequality sign.

The shading is to the right meaning we are shading everything larger than -3.

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Each sequence below gives an explicit formula. Write the first five terms of each sequence. Then, write a recursive
Bas_tet [7]

Answer:

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.

Step-by-step explanation:

Since we need to find the first 5 values  we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that  n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

a_{1}  = 2(1) + 10 = 12\\ a_{2} = 2(2) + 10 = 14\\  a_{3} = 2(3) + 10 = 16\\  a_{4} = 2(4) + 10 = 18\\ a_{5} = 2(5) + 10 = 20

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e a_{1} = 12 and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

a_{1} = 12

a_{n} = a_{n-1}  + 2

The over all formula is as follow

\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.

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Step-by-step explanation:

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Step-by-step explanation:

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