book Maths Puzzle Numerical Ability

Suppose the sum of the 151st term and the 251st term of an arithmetic sequence is 10. Find the sum of the first 401 terms of the sequence. Provide 3 examples of such a sequence.

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book Other Question

Find the wquation of the ellipse that has the endpoints of its major axis at (2,-2) and (10,-2) and the endpoints of its minor axis at (6,0) and (6, -4). Solve the following system of equations for x, y, and z using any method:

x-y-z=3
3x-2y+2z=5
x+3y+z=5