How many multiples of 4 lie between 10 and 205
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let the number of multiples be n
here,
the first term= 12
and the common difference be = 4.
also,
the last term= tn= 204
now,
by the formula,
tn=a+(n-1) ×d
204= 12+(n-1) ×4
204= 12+ 4n-4
204= 12-4+4n
204= 8+4n
204-8= 4n
196= 4n
196/4= n
49= n
hence,
there are 49 multiples of 4 between 10 and 205
hope this helps!!✌☺❤
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