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Sholpan [36]
3 years ago
14

What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

  • 430

Step-by-step explanation:

<h3>Given GP with:</h3>
  • a1 = 10
  • r = -2
<h3>To find</h3>
  • S7
<h3>Solution</h3>

<u>Formula of sum:</u>

  • Sn = a1(r^n - 1)/(r - 1)

<u>Substitute values:</u>

  • S7 = 10((-2)^7 - 1)/(-2 - 1) = 10(- 128 - 1)/(-3) = 10*129/3 = 430
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Answer:

9

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (a^2 + b^2 = c^2), where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that (a) represents the unknown leg (side).

a^2 + b^2 = c^2\\\\a^2 + (\sqrt{19})^2 = (100)^2\\\\a^2 + 19 = 100

Inverse operations,

a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = \sqrt{81}\\\\a = 9

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3 years ago
The equation of the line passes through the points (-2,0) and (-2,3) is
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Answer:

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Step-by-step explanation:

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3 years ago
Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh
Gwar [14]

Answer:

11 km/hr.

Step-by-step explanation:

Given information:

Simulated speed = 20/km/h

Time = 15 mins = 1/4 hr = 0.25 hr

Distance Covered as per simulated speed = 20\times \frac{1}{4}=5km

Position of Julian according to the app = -2\frac{1}{4}=-2.25.

Actual distance covered by the bike is

Distance= 5 - 2.25 = 2.75km

Formula for speed:

\text{Average Speed}=\frac{Distance}{Time}

\text{Average Speed}=\frac{2.75}{0.25}

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sveta [45]

Answer:

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Step-by-step explanation:

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Drag each tile to the correct box. Not all tiles will be used.
klemol [59]

The simplified form of the expression 1/6 (30x + 24) – 1/7 (63 – 7x) will be 6x – 5.

The complete question is given below.

<h3>What is simplification?</h3>

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 1/6 (30x + 24) – 1/7 (63 – 7x)

By simplifying we have

⇒ 1/6 × 30x + 1/6 × 24 – 1/7 × 63 + 1/7 × 7x

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Then the simplification process is done.

More about the simplification link is given below.

brainly.com/question/12616840

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