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statuscvo [17]
3 years ago
7

Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you

so much!

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536

2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748

Step-by-step explanation:

The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.

2a:

a₈ = 12 * -2⁸⁻¹ <em>{Subtract 1 from 8 to get 7}</em>

a₈ = 12 * -2⁷ <em>{2⁷ is 128. Since the exponent is odd, this will be negative.}</em>

a₈ = 12 * (-128) <em>{Multiply 12 by -128 to get -1536.</em>

a₈ = -1536

2b:

a₈ = 4 * 3⁸⁻¹ <em>{Subtract 1 from 8 to get 7)</em>

a₈ = 4 * 3⁷ <em>{7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 218</em><em>7</em><em>.}</em>

a₈ = 4 * 2187 <em>{Multiply 4 by 2187 to get 8748}</em>

a₈ = 8748

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Step-by-step explanation:

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A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equation
hoa [83]

Answer:

1.2a+a=33

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4 0
3 years ago
What is the value of the 24th term is the fourth term is 6 and the eighth term is 8
Alina [70]

The value of the 24th term is 16.

<h3>Arithmetic progression:</h3>
  • aₙ = a + (n -  1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

learn more on arithmetic progression here; brainly.com/question/9882454

4 0
2 years ago
How <br> do you write (-∞, 8) or (10, ∞) as an inequality?
ahrayia [7]

Your answer would be, To write, (−∞,8), or (10,∞), ==> x < 8 or, x > 10

(-∞, 8) or (10, ∞)

Solution: ==> - 10 . ∞ + 8 . ∞ or, x < 8 or, x > 10

Steps:

(-∞, 8) or (10, ∞) ==> - 10 . ∞ + 8 . ∞

(-∞, 8) . (10, ∞)

Computing dot product of two Vectors:

( X1, Xn) . ( Y1, Yn) = Σ^n^i = 1X^iY^i

= ( - ∞) . 10 + 8 . ∞

Simplify:

( - ∞) 10 + 8 . ∞

- 10 . ∞ + 8 . ∞

( - ∞) . 10 + 8 . ∞

Remove Parenthesis:

( - a) ==> - a

- ∞ . 10 + 8 . ∞

==> - 10 . ∞ + 8 . ∞

==> (- 10 . ∞ + 8 . ∞) ==> - 10 . ∞ + 8 . ∞

( ==> - 10 . ∞ + 8 . ∞)

Remove Parenthesis:

( a) = a

==> - 10 . ∞ + 8 . ∞

Therefore, (-∞, 8) or (10, ∞) as an inequality, Answers are, ==>

- 10 . ∞ + 8 . ∞ or, x < 8 or, x > 10

Check:

(-∞, 8) or (10, ∞)

==> x < 8 or, x > 10

Solution:

x < 8 or, x > 10

Interval Notation:

[ x < 8 or, x > 10 ==> (-∞, 8) ∪ (10, ∞) ]

Steps:

x < 8 or, x > 10

x < 8 : x < 8

x < 8

x < 8

x < 8

x > 10 : x > 10

x > 10

x > 10

x > 10

Combine The Ranges:

x < 8, or x > 10

Hope that helps!!!!! : )

4 0
3 years ago
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