A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,
Common ratio = y₂/y₁ = 1/(1/7) = 7
Now, for any geometric progression, the value of the nth term is given as,
Tₙ = a₁ (r)⁽ⁿ⁻¹⁾
where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,
T = a₁ (r)⁽ⁿ⁻¹⁾
Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾
y = (1/7)(7)⁽ˣ⁻¹⁾
Now, the value of the y when the value of x is 5 is,
y = (1/7)(7)⁽ˣ⁻¹⁾
y = (1/7)(7)⁽⁵⁻¹⁾
y = (1/7)(7)⁴
y = (1/7) × 2401
y = 343
Hence, the missing value in the table below is 343.
Learn more about Geometrical Series here:
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Answer: 
b) 5314
c) ln 2.7
d) 4.6 hrs
<u>Step-by-step explanation:</u>
Answer:
d. -0.301
h. 1.38
Step-by-step explanation:
Loga0.5 = loga2^-1
= -1(loga2)
= -1 (0.301)
= -0.301
Loga24 = loga(2^3 x 3)
= loga2^3 + loga3
= 3 (loga2) + loga3
= 3 (0.301) + (0.477)
= 1.38
B - 3/4 = 7/10
add 3/4 to both sides to isolate the b
b = 7/10 + 3/4
b = 28/40 + 30/40
b = 58/40
b = 1 18/40
b = 1 9/20
Haha, I don't think those answers belong to the question asked :P
The probability of rolling less than 3 is 2/6=1/3
So if you rolled 450 times you should expect to roll less than 3:
450(1/3)=150 times.
