fourth term of an A.P is ten times the first prove that six term is four times as great as second term .
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Step-by-step explanation:
To Prove:a+5d=4(a+d)
now let the first term of an ap be a and that of fourth term be a+3d
Moreover let the six term be a+5d and second term be a+d
so according to given condition
a+3d=10a
ie 3d=9a
so d=3a
now substitute this value in to prove part
we obtain
a+5d=4(a+d)
ie a+(5×3a)=4(a+3a)
so a+15a=4×4a
ie 16a=16a
hence lhs=rhs
thus proved
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