The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
The anwser would be -13
Step-by-step explanation:
PARENTHESIS
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
Using it's concepts, we have that:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
- Since each value of the input is mapped to only one value of y, it is a function.
<h3>
What are the domain and the range of a relation?</h3>
- The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.
- The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
- The domain of the relation is of -2 ≤ x ≤ -1.
- The range of the relation is of -2 ≤ y ≤ 2.
<h3>When does a relation represents a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that <u>each value of x is mapped to only one value of y</u>, that is, there are no vertically aligned points, hence the relation is a function.
More can be learned about relations and functions at brainly.com/question/12463448
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Simplify <span>-28x-28+4−28x−28+4</span> to <span>-28x-24<span>−28x−2<span>4
</span></span></span> Add <span>28x28x</span> to both sides<span>39−7x+28x=−24Simplify <span>39-7x+28x39−7x+28x</span> to <span>39+21x<span>39+21<span>x
</span></span></span><span>39+21x=−24Subtract 39<span> from both sides
</span><span>21x=−24−39Simplify <span>-24-39−24−39</span> to <span>−6<span>3
</span></span><span>21x=−63Divide both sides by <span>21
</span>x=−
Simplify tex] \frac{63}{21} [/tex] to 3
<span>x=−3
</span>
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