YOU ARE WALKING ALONG A ROW OF TREES NUMBERED FROM 789 TO 954 . HOW MANY TREES WILL YOU FIND MARKED WITH NUMBERS WHICH ARE MULTIPLES OF 8 .
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YOU ARE WALKING ALONG A ROW OF TREES NUMBERED FROM 789 TO 954 . HOW MANY TREES WILL YOU FIND MARKED WITH NUMBERS WHICH ARE MULTIPLES OF 8 .
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★Answer :-
★Solution :-
792 , 800 , .........., 952
[tex]\bf{a=792}[/tex]
[tex]\bf{d = 800-792=8}[/tex]
[tex]\bf{\ a_{n}=952}[/tex]
[tex]\sf{\underline{\boxed{\red{\ a_{n}=a+(n-1)d}}}}[/tex]
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[tex]\implies\sf{\ a_{n}=a+(n-1)d}[/tex]
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[tex]\implies\sf{952=792+(n-1)8}[/tex]
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[tex]\implies\sf{952-792=(n-1)8}[/tex]
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[tex]\implies\sf{160=(n-1)8}[/tex]
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[tex]\implies\sf{(n-1)=\dfrac{160}{8}}[/tex]
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[tex]\implies\sf{(n-1)=20}[/tex]
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[tex]\implies\sf{n=20+1}[/tex]
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[tex]\implies\sf{\boxed{\purple{\dag{n=21\:trees}}}}[/tex]
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So , there are 21 trees marked with number which are multiples of 8 between 789 and 954