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
Answer:
m∠2= 180-30=150
m∠3= 30
m∠4=30
m∠5=150
m∠6=150
m∠7=30
Step-by-step explanation:
since these are angles of parallel lines cut by a transversal the theorems of vertical, corresponding, supplementary, and complementary angles apply.
An example of an exponential graph function has been attached and its' properties are as below.
<h3>How to draw the graph of an exponential function?</h3>
The general formula for exponential functions is: f(x) = aˣ, a > 0, a ≠ 1.
The reasons for the restrictions are because;
If a ≤ 0, then when you raise it to a rational power, you may not get a real number.
The graph of an exponential function y = 2ˣ is shown in the attached file. Here are some properties of the exponential function when the base is greater than 1.
- The graph passes through the point (0,1)
- The domain is all real numbers
- The graph is asymptotic to the x-axis as x approaches negative infinity
- The graph increases without bound as x approaches positive infinity
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Answer:
17 is the answer
Step-by-step explanation: