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Does there exists any sequence whose limit is positive but sequence is negative?
No, such a sequence is not posible.
How calculate zero phase sequence capacitance of transformer?
In my experience, the zero sequence of transformers is not calculated, it is directly tested following ANSII/IEEE guidlines for Z1no, Z2no, and Z1ns tests (for three phase, three winding transformers). Rough estimations of zero sequence impedance can be determined based on the positive sequence and core form of the transformer. A Shell type core will have a zero sequence of ~100% the positive sequence because the flux stays in the core / follows the same path as it does for positive sequence currents. For a core type, the zero sequence will be ~80-90% typically, because the flux must travel outside the core. This is for three winding transformer.
Explain how to find the common difference of an arithmetic sequence How can you determine whether the arithmetic sequence has a positive common difference or a negative common difference?
For any index n (>1) calculate D(n) = U(n) - U(n-1). If this is the same for all integers n (>1) then D is the common difference. The sign of D determines whether the common difference is positive or negative.
How can you determine whether the arithmetic sequence has a positive common difference or a negative common difference?
If the terms get bigger as you go along, the common difference is positive. If they get smaller, the common difference is negative and if they stay the same then the common difference is 0.
How do you find the nth term of decreasing linear sequence?
The answer depends on what information you have. If you know the first number, a, and the common difference d, (where d is negative), then the nth term is a + (n - 1)*d : exactly the same as in an increasing linear sequence. The only difference is that d is negative instead of positive.
