Answer:

Step-by-step explanation:
The sum of an infinite geometric series is expressed according to the formula;
where;
a is the first term of the series
r is the common ratio
If the sum of an infinite geometric series is three times the first term, this is expressed as 
Substitute
into the formula above to get the common ratio r;


open the parenthesis

subtract 3 from both sides

<em>Hence the common ratio of this series is </em>
<em></em>
Answer:
71
Step-by-step explanation:
Dy/dx = dy/dt / dx/dt
dy/dx = 12x^2 + 4
when x = 2 , dydx = 52
52 = dy/dt / 3
so dy/dt = 156 (answer)
Answer:
30
Step-by-step explanation:
27 diviend by 9 = 3 so 27 +3 = 30.
Answer:
rational
Step-by-step explanation:
both 8 and 12 are rational and we are adding rationals number