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ladessa [460]
3 years ago
14

Find a rational number between - 4 and 8 ​

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

6 is correct for this questions answer

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Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive
navik [9.2K]

Answer:

The explicit formula

a_n = 3 +0.25 (n-1)

The recursive formula

a_1 = 3                            for n=1

a_n = a_ {(n-1)} +0.25     if n>1

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

a_n = a_1 + d (n-1)

Where d is the constant difference between the terms.

d = 0.25

a_1 is the first term of the sequence.

a_1 = 3

So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

8 0
3 years ago
What is the value of x
jeyben [28]

Answer:

4 cm

Step-by-step explanation:

6 0
3 years ago
Find the ending amount of an investment of $10,000 for 5 years at an interest rate of 10% if
Genrish500 [490]

9514 1404 393

Answer:

  $16,453.09

Step-by-step explanation:

The future value formula is ...

  FV = P(1 +r/12)^(12·t)

For P = 10000, r = 0.10, t = 5, the future value is ...

  FV = $10,000(1 +0.10/12)^(12·5) = $10,000(1.64530893) ≈ $16,453.09

6 0
3 years ago
The lenght of the base of an isosceles triangle is x. The lenght of a leg is 2x-5. The perimeter of the triangle is 20. Find x.
Alex73 [517]
20 = × + 2 (2x-5)
20 = x + 4x - 10
20 = 5x - 10 add 10 to both sides
30 = 5x divide both sides by 5
6 = x
1 side is 6 the other 2 sides are 7
8 0
4 years ago
Pleaseee help mee I will appreciate it
oee [108]

Answer:

Read explanation!

Step-by-step explanation:

A = $0.89

B = $0.92

C = $0.94

4 0
3 years ago
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