1.

Find the common difference of an A.P if \( t_{18}-t_{14}=3 L \).If \( 3+k, 18-k, 5 k+1 \) are in A.P, then find \( k \).If \( p \) and \( q \) are positive integers, then we write \( p=a^{2} b^{3} \) and \( q=a^{3} b \) if \( a \), \( b \) are numbers, then verify that L.C.M of \( (p, q) \times \) H.C.F of \( (p, q)=p q \).

Answer»
t18=t1+17×d
t14=t1 +13×d
solving the two equtaions,
t18-t14= 4d
subtisting 4d=32
=  d=8


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