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Flauer [41]
3 years ago
8

Find the distance between the two points given (-2,6) and (-2,18)

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

12

Step-by-step explanation:

Let the two points be represented by (x1,y1) and (x2,y2).

Distance between the two points is given by the formula:

\[\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\] ----------------- (1)

In this case x1=-2,y1=6,x2=-2,y2=18.

Substituting the relevant values in the formula (1),

distance = \[\sqrt{(-2-(-2))^{2}+(18-6)^{2}}\]

= \[\sqrt{0^{2}+12^{2}}\]

=12

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Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

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We are given;

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The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

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