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HACTEHA [7]
3 years ago
8

29, 58,116, Find the 7th term.

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

9514 1404 393

Answer:

  1856

Step-by-step explanation:

The numbers given do not have a common difference, but they do have a common ratio:

  58/29 = 116/58 = 2

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1×r^(n-1)

For this sequence, a1=29 and r=2, so the general term is ...

  an = 29×2^(n-1)

Then the 7th term is ...

  a7 = 29×2^(7-1) = 29×64 = 1856

The 7th term is 1856.

_____

If you prefer, you can double each term until you have 7 of them.

 29, 58, 116, 232, 464, 928, 1856, ...

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A climber starts descending from 574 feet above sea level and keeps going until she reaches 80 feet below sea level. How many fe
notka56 [123]

Answer:

654 feet

Step-by-step explanation:

a climber starts from 574 ft above sea level till reaches 80 below sea level.

how many feet did the climber descend?

= 574 to 0, then 0 to 80

= 574 + 80

= 654 feet

3 0
4 years ago
Read 2 more answers
Given
babymother [125]

Answer:

f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -5x⁹ - x⁸ + 3x³ - 8

g(x) = -5x⁹ - 5x³ - 5x² + 5

<u>Step 2: Find f(x) - g(x)</u>

  1. Substitute:               f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)
  2. Distribute -1:            f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5
  3. CBT (x⁹):                  f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5
  4. CBT (x³):                  f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5
  5. CBT (Z):                   f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13

And we have our final answer!

8 0
3 years ago
7+7+6=?? Pls helps I am stuck
Gemiola [76]

7+7+6 = 20

So, 7+7 is 14

14+6 is equal to 20.

8 0
3 years ago
Find the product (n^3)^2 x (n^5)^4
jeka94

Answer:

\large\boxed{(n^3)^2\times(n^5)^4=n^{26}}

Step-by-step explanation:

(n^3)^2\times(n^5)^4\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(n^{3\cdot2})\times(n^{5\cdot4})=n^{6}\times n^{20}\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\=n^{6+20}=n^{26}

4 0
3 years ago
Estimate 1.9 x 4.4
Lelechka [254]

Answer:

A

Step-by-step explanation:

1.9 about 2, and 4.4 is about 4.

2x4=8

So it is safe to say between 4 and 10.

3 0
3 years ago
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