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:
18
Step-by-step explanation:
multyply both like 10 x 6 then 11 x 7 after that subtrac the numbers that you múltiple and you will get the answer
Step-by-step explanation:
solution.
Let S represent side of the equilateral triangle.
perimeter of equilateral ∆ =3×S
Therefore,if we let width to be represented by W
Width of rectangle=W
Length of rectangle=2W
one side of equilateral triangle= W+8
Therefore after analysing the question, the true statement is; The length of the rectangle is 2W
Answer:
1
Step-by-step explanation:
The number 1 stands for 1 thousand, and all the other numbers stand for a smaller value.
Answer:
B. 144√3 in².
Step-by-step explanation:
Given the following data;
Sides of length = 24 inches
Mathematically, the area of an equilateral triangle is given by the formula;
A = √3 * s²/4
Where, s represents the sides of length.
Substituting into the formula, we have;
A = √3 * 24²/4
A = √3 * 576/4
A = √3 * 144
A = 144√3 in²
