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DerKrebs [107]
3 years ago
6

Given the rule: an=7(1/2)n-1 identify the first term

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

  • using the rule given: 2.5
  • using an exponential rule: 7

Step-by-step explanation:

Evaluating the linear rule given, for n = 1, we have ...

  a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5

_____

We suspect you may intend the exponential function ...

  an = 7(1/2)^(n-1)

Then, for n = 1, we have ...

  a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7

_____

When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.

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The measure of angle 5 is 75°.

<u>Step-by-step explanation</u>:

Properties of intersecting lines :

  • The angles formed opposite to each other at the point of intersection are called vertically opposite angles.
  • These vertically opposite angles are congruent (same).

step 1 :

From the figure, the angle (-9x-12) and angle (6x+183) are vertically opposite and are equal.

-9x-12 = 6x+183

⇒ -9x-6x = 183+12

⇒ -15x = 195

⇒ x = -(195/15) = -13

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Substitute x= -13 in the angle (-9x-12)

⇒ (-9x-12) = -9(-13)-12

⇒ 117 - 12 = 105°

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<em>The measure of angle in a line is supplementary (180°)</em>.

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