Answer:
33/40
Step-by-step explanation:
1/5x8= 8/40
5/8x5=25/40
add them
reduce answer:
33/40
Answer:
You are looking for a geometric series equation. The first term of the sequence is 6 and the common ratio is 4 hence the equation is 6(4)^n-1 where n is the number of generations.
Step-by-step explanation:
Answer:
Relative Size, S, is 1584.89
Step-by-step explanation:
The equation is 
Where,
- R is the measurement in Richter Scale
- S is the relative size of the earthquare
<u>It is given that in Richter Scale, an earthquake measured 3.2, so 
.</u>
<em>They want to know relative size, S, so we put given information in equation and solve for S:</em>
<em>Converting to exponential form, we have:</em>
<em>Rounding to nearest hundredth, we have:</em>
<h3><u>
Answer:</u></h3>
33480783
<h2><u>
Step-by-step explanation:</u></h2>
<u>Finding the Common Ratio:</u>
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) <em>(Where n is any integer)</em>
<em>replacing the values, taking n=2</em>
r = -21 / 7
r = -3
<u>Solving for the 15th Term:</u>
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ <em>(where a is the first term and r is the common ratio)</em>
<em>replacing the values (taking n = 15 since we need the 15th term)</em>
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
