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horsena [70]
3 years ago
5

Make a conjecture about the next item in the sequence. 1, 4, 16, 64, 256

Mathematics
2 answers:
ale4655 [162]3 years ago
8 0
1024 , multiply the last number by 4
ANTONII [103]3 years ago
6 0
1024 is the next in sequence
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Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 3 ; r
Anna [14]

Answer: 1875

Step-by-step explanation:

The nth term of a geometric progression is given as:

= ar^n-1

Given a = 3 ; r = 5, the nth term will be:

= ar^n-1

= 3 × 5^n-1

The fifth term will be:

= 3 × 5^n-1

= 3 × 5^5-1

= 3 × 5⁴

= 3 × 625

= 1875

The fifth term is 1875

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3 years ago
Why can you use the constant of proportionalty with any representation?​
Dmitry [639]
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3 years ago
Need help please What is the slope of the line?
Dmitry_Shevchenko [17]
<h2>Answer: m = 1</h2>

Step-by-step explanation: Goes up 1 and over 1.

(If you want y-intercept it is also 1)

4 0
3 years ago
How much is 1 1/4 + 3/4 + 1 1/3 step by step
dangina [55]

Answer:

  3 1/3

Step-by-step explanation:

<u>Step 1</u> is to look at the problem.

Here, you notice that the first two numbers have fractions that are quarters. The total of those two fractions is 1/4 + 3/4 = 4/4 = 1.

So, the sum of the first two numbers is ...

  1 1/4 + 3/4 = 1 +(1/4 +3/4) = 1 +1 = 2

<u>Step 2</u> is to add the next mixed number, which has a fraction with a different denominator. Since you have no fractions to add at this point, the sum is just ...

  2 + 1 1/3 = 3 1/3

_____

<em>Comment on adding fractions</em>

Generally, adding fractions requires you determine a common denominator. Often, you are asked to find the <em>least</em> common denominator, but that isn't necessary. Sometimes that can save the work of reducing the fraction that results, but sometimes it makes more work.

Here, a common denominator for fourths and thirds would be twelfths:

  1/4 = 3/12

  1/3 = 4/12

However, since adding the fourths results in an integer, no common denominator is necessary.

3 0
3 years ago
Identify the terms and the coefficients of the expression 8p+2q+7r
Eva8 [605]
Terms: 8p, 2q, 7r
coefficients: 8, 2, 7
5 0
3 years ago
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