Maths Olympiad Exam Numerical Ability

if sum of terms of AP 25,22,19,....... is 116 then the lat term is

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Ans is 4
25,22,19,16,13,10,7,4
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common difference = -3
sum of n terms starting with 25= 116
Therefore, last term =4
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Maths Olympiad Other Question

if x1,x2,x3...................xn are in AP then 1/x1x2+1/x2x3+................+1/x(n-1)xn is equal to
a)(n+1)/x1
b)(n-1)/x2
c)(n-1)/x1xn
d)(n+1)x1x2 the first term of an AP is 100 and sum of first 6 terms is five times the sum of next 6 terms the common difference is