Maths Olympiad Exam Numerical Ability

an AP consists of 50 terms whose 4th term is 14 and the last term is 106 find the 30th term of the sequence

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Nas is 66
for every nth term 2*n+6
for 30 th number 2*30+6=66
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Maths Olympiad Other Question

find the sum of first ten terms of series 1*2*3+2*3*4+3*4*5+........... find values of m and n such that 117n+65m gives the HCF of(117,65)