Maths Olympiad Exam Numerical Ability

find the sum of first ten terms of series 1*2*3+2*3*4+3*4*5+...........

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Maths Olympiad Other Question

three numbers in GP are such that their product is 216 if the sum of product in pairs is 156 then the numbers are an AP consists of 50 terms whose 4th term is 14 and the last term is 106 find the 30th term of the sequence