exam Maths Puzzle Numerical Ability

Prove that for each integer n>o
1x5+2x5^2+3x5^3+...+nx5^n=[5+(4n-1)5^n+1]/16

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exam Other Question

Give the sum p+q where p/q is the reduced fraction represented by repeating decimal 1.36(bar over 36).

answers:

a. 13
b. 19
c. 26
d. 28
(rs) radical sign

Is (rs)38 a rational or irrational number?
I think it is irrational because it is not a perfect square.