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17-01-2021
Mathematics

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Find the sum of whole number that are less than 100 and leave reminder 2 when divided by 5

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17-01-2021

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

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