Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ….. , and Y be the
set consisting of the first 2018 terms of arithmetic progression 9, 16, 23, ….. . Then, the number of
elements in the set X ∪ Y is
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Answer:
answer is 3748
Step-by-step explanation:
X:1,6,11,_________, 10086
Y:9,16,23,________, 14128
X∩Y :16,51,86, _________
Let m=n(X∩Y)
∴16+(m−1)×35≤10086
⇒m≤288.71
⇒m=288
∴n(X∪Y)=n(X)+n(Y)−n(X∩Y)
=2018+2018−288=3748.
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344 strutt and why not received an environment
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