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mezya [45]
3 years ago
14

Find the next three terms in the geometric sequence. 2,-16,128,-1024,...

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0

Answer:8192,-65536,524288

Step-by-step explanation:

2,-16,128,-1024,....

First term=a=2

Common ratio=r=-16/2=-8

Using the formula

Tn=a x r^(n-1)

T5=2 x (-8)^(5-1)

T5=2x (-8)^4

T5=2x4096

T5=8192

T6=2x(-8)^(6-1)

T6=2x(-8)^5

T6=2x-32768

T6=-65536

T7=2x(-8)^(7-1)

T7=2x(-8)^6

T7=2x262144

T7=524288

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Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
Goshia [24]

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

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r = second term ÷ first term

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    a = 4

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4 years ago
The perimeter of an equilateral triangle is 1/8 unit. What is the length, in units, of each side of the triangle
svp [43]
<h2>The length of each side of the equilateral traingle is 1/24 unit.</h2>

<u>Step-by-step explanation:</u>

Given that the perimeter of an equilateral triangle is 1/8 unit. With this information, we are asked to find the length of each side of yhe equilateral traingle.

The perimeter of equilateral traingle is defined as the three times of the length of edge. Mathematically;

→ Perimeter = 3a

By substituting the given values in the formula, we get the following results:

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Hence, the length of each side of the equilateral traingle is 1/24 unit.

<u>Additional information:</u>

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  • A triangle has three angles.
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  • The sum of the length of any two sides of a triangle is greater than the length of the third side.
  • There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.
  • Area of triangle = 1/2 * b * h.
  • Perimeter of triangle = sum of all sides.
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