Which number in the following will completely divide 3^15 + 3^16 + 3^17 ? (MAT)
Answers
Answered by
13
3^15+3^16+3^17
=>3^15(1 + 3 + 3^2)
=>3^15(13)
and so it is divisible by 13.
=>3^15(1 + 3 + 3^2)
=>3^15(13)
and so it is divisible by 13.
Answered by
53
Hi,
3^15 + 3^16 + 3^17
= 3^15 + 3 × 3^15 + 3² × 3^15
= 3^15 [ 1 + 3 + 3² ]
= 3^15( 1 + 3 + 9 )
= 3^15 × 13
Therefore ,
Given number is divisible by 13 or
3^15.
I hope this helps you.
:)
3^15 + 3^16 + 3^17
= 3^15 + 3 × 3^15 + 3² × 3^15
= 3^15 [ 1 + 3 + 3² ]
= 3^15( 1 + 3 + 9 )
= 3^15 × 13
Therefore ,
Given number is divisible by 13 or
3^15.
I hope this helps you.
:)
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