B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.
Now, notice that

That is, we can write the sum more compactly as

The series is geometric with common ratio

, so the series converges (and thereby has a sum), so the answer is D.
Answer:
2 and -1
Step-by-step explanation:
sum = 2 + (-1)
= 1
product = 2 × ( -1)
= -2
Answer:710.4
Step-by-step explanation:
Answer:
(4.0x - 12)i . (5/3)i
Step-by-step explanation:
Potential energy = Workdone
Workdone = Force x distance
Force = F = (4.0x - 12)i N
Workdone = 20J
At x= 0
F = -12i
/F/= 12
Workdone = Force x distance
20 = 12 x distance
Distance = 20/12
= 5/3
In the vector form distance is written as (5/3)i
Since Workdone/ Energy is scalar, U can be expressed as a dot product of the vectors of Force and distance :
(4.0 x - 12)i . (5/3)i