Answer:
0.888...
Step-by-step explanation:
It depends on how many decimal places you want, or write it as a repeating decimal like I did above. Rounded answers like below would also be correct if you were asked to round it to the nearest tenth, hundredth, thousandth, etc...
0.9
0.89
0.889
0.8889
.
.
.
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
5 is the answer, you are welcome.
Answer:
patrick the creator <3
Step-by-step explanation:
Answer:
0.665%
Step-by-step explanation:
5985/9000 = .665%
Mark me brainliest if this helped:D
