Answer:
Given sequence is not a geometric progression and there will be no common ration for this sequence.
Step-by-step explanation:
Need to determine common ration for the following geometric sequence
32, 8, 2, 12, ...
In given geometric sequence
a1 = 32, a2=8, a3=2, a4=12 ……….
Common ratio = 
Since 
so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.
Go to desmos.com its a free graphing calculator site. type in (x+2)/(x-3)
it'll show you the graph
Answer:
im pretty sure that it is -48 there is a chance im wrong
Step-by-step explanation:
.
Answer:
12
Step-by-step explanation:
All sides are the same
Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
