DC=10 what is the measure of angle ABD
1 answer:
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Answer:
41
Step-by-step explanation:
Curtis is playing a trivia game.
Number of points earned for each correct answer = 2
Number of points lost for each correct answer = 0.25
Given that:
Number of correct answers given by Curtis = 21
Number of wrong answers given by Curtis = 4
To find:
Total score of the game by Curtis?
Solution:
First of all, let us find the points earned by correct answers.
Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.
Points earned by correct answers = 21 2 = 42
Now, let us find the points to be lost by wrong answers.
Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.
Points lost by wrong answers = 4 0.25 = 1
The score of the game can be calculated by subtracting the points lost from the points earned.
Score = 42 - 1 = <em>41</em>
The pattern is formed a geometric sequence
The nth term of the sequence is
Step-by-step explanation:
The formula of the nth term of a geometric sequence is:
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ The pattern is 3 , 9 , 27 , 81 , 243
∵ 9 ÷ 3 = 3
∵ 27 ÷ 9 = 3
∵ 81 ÷ 27 = 3
∵ 243 ÷ 81 = 3
- There is a common ratio 3 between each two consecutive terms
∴ The pattern is formed a geometric sequence
∵ The first term is 3
∴ a = 3
∵ The common ratio is 3
∴ r = 3
- To find the nth term substitute a and r in the formula above
∵
∴
- Remember we add the powers of the same base with multiplication
∵ 3 × =
∴ 3 × =
∴
∴ The nth term of the sequence is
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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