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IrinaVladis [17]
3 years ago
7

What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81

Mathematics
2 answers:
hammer [34]3 years ago
4 0

Answer:

a₁ = 1; r = 3

Step-by-step explanation:

a₁ represents the first term. It is 1 in this case.

r represents the common ratio between terms. In this case it's 3 / 1 = 3.

zysi [14]3 years ago
3 0

Answer:

a1 = 1

r = 3

Step-by-step explanation:

a1 = first term = 1

r = common ratio = 2nd term/1st term

  = 3/1

r = 3

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Determine a scalar c so that the angle between a = i + cj and b = i + j is 45°.​
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c=0

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PLEASE HELP me with the magic square
defon

Fill in each slot in the square with variables <em>a</em>, <em>b</em>, <em>c</em>, <em>d</em>, and <em>e</em>, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the <em>magic sum</em>.

The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:

3 + (-1.3) + (-5.6) = -3.9

Use this to find the remaining elements

  • row 1:

<em>a</em> + <em>b</em> + (-5.6) = -3.9

  • row 2:

<em>c</em> + (-1.3) + <em>d</em> = -3.9

  • row 3:

3 + <em>e</em> + 0.02 = -3.9

  • column 1:

<em>a</em> + <em>c</em> + 3 = -3.9

  • column 2:

<em>b</em> + (-1.3) + <em>e</em> = -3.9

  • column 3:

(-5.6) + <em>d</em> + 0.02 = -3.9

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<em>a</em> + (-1.3) + 0.02 = -3.9

You will find

<em>a</em> = -2.62

<em>b</em> = 4.32

<em>c</em> = -4.28

<em>d</em> = 1.68

<em>e</em> = -6.92

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3 years ago
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