2.
base
thrce
What is the least positive two-digit base-three integer that is not divisible by 2?
Express your answer in base threc.
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Answer:
The sum of all two digit numbers which are not divisible by 2 or 3 is.
Step-by-step explanation:
The sum of all two digit numbers which are not divisible by 2 or 3 is
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ANSWER
Sum of all digits from 10 to 99 is S
n
=
2
n
[2a+(n−1)d]
S
n
=
2
90
[2(10)+(90−1)1]
S
n
=4905.
Sum of digits divisible by 2 from 10 to 99 is S
n
=
2
n
[2a+(n−1)d]
S
n
=
2
45
[2(10)+(45−1)2]
S
n
=2430
Sum of digits divisible by 3 from 10 to 99 is S
n
=
2
n
[2a+(n−1)d]
S
n
=
2
30
[2(12)+(30−1)3]
S
n
=1665
Sum of digits divisible by 6 from 10 to 99 is S
n
=
2
n
[2a+(n−1)d]
S
n
=
2
15
[2(12)+(15−1)6]
S
n
=810
The sum of all two digit numbers which are not divisible by 2 or 3 is 4905−2430−1665+810 is 1620.
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