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3 years ago

Which of the following is most likely the next step in the series?

Mathematics

2 answers:

user100 [1]3 years ago

7 0

Answer: The correct option is (A) E20e.

Step-by-step explanation: We are to find the most likely next step in the following series:

A4a, b8B, C12c, d16D, . . ..

The first letters are A, b, C, d, . . .. So, the next letter in this series will be E.

The second numbers are 4, 8, 12, 16, . . ..

That is, 4 × 1, 4 × 2, 4 × 3, 4 × 4, . . . . So, the next number in this series will be 4 × 5 = 20.

The third terms are a, B, c, D, . . .. So, the next letter in this series will be e.

Thus, the next step in the given series is

E20e.

Option (A) is CORRECT.

Delicious77 [7]3 years ago

6 0

it is E20e not e20E

so the answer is A

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Question # 17 Solution

Answer:

$x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Step-by-step Explanation:

The given expression

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

And we have to solve for x₁

So,

Lets solve for x₁.

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Multiply both sides by x₂ - x₁

$m(x_{2}-x_{1})= (x_{2}-x_{1})\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m(x_{2}-x_{1})= (y_{2}-y_{1})$

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Divide both sides by -m

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Question # 23 Solution

Answer:

$n= \frac{bx}{-b + x}$

Step-by-step Explanation:

The given expression

$\frac{nx}{b}-x=x$

And we have to solve for n

So,

Let's solve for n.

$\frac{nx}{b}-x=x$

Multiply both sides by b.

$-bn + nx = bx$

Factor out n.

$n(-b + x)= bx$

Divide both sides by -b + x.

$\frac{n(-b + x)}{-b + x}= \frac{bx}{-b + x}$

$n= \frac{bx}{-b + x}$

Therefore, $n= \frac{bx}{-b + x}$

Keywords: solution, equation

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