Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum =
=
=
=
=
= 7 * 25
= 175
The recursive formula can be used to generate the shown sequence
Step-by-step explanation:
Recursive formula is the formula that is used to generate the next term of a sequence using previous term.
The general form of arithmetic sequence's recursive formula is:
Given
5,-1,-7,-13,-19
Here
First of all we have to find the common difference of the sequence.
So,
Putting the value of d in the general recursive formula
Hence,
The recursive formula can be used to generate the shown sequence
Keywords: Sequence, arithmetic sequence
Learn more about arithmetic sequence at:
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The probability of “landing” in the shaded region to the nearest hundredth is equal to 0.79 or 79.0%.
<h3>How to determine the probability?</h3>First of all, we would determine the area of the given geometric shapes.
For the square, we have:
Mathematically, the area of a square can be calculated by using this formula;
Area = x²
Area = 50²
Area = 2500 ft².
For the circle, we have:
Mathematically, the area of a circle can be calculated by using this formula;
Area = πd²/4
Area = (3.142 × 50²)/4
Area = 1,963.75 ft².
Now, we can determine the probability as follows:
Probability = 1963.75/2500
Probability = 0.79 or 79.0%.
<h3>When the side length is 40 ft.</h3>Area = x²
Area = 40²
Area = 1600 ft².
For the circle, we have:
Area = πd²/4
Area = (3.142 × 40²)/4
Area = 1256.8 ft².
Probability = 1256.8/1600
Probability = 0.79 or 79.0%.
Read more on probability here: brainly.com/question/24441555
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