'Product of three consecutive odd number is even' Given statement is

True

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False

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Solution

The correct option is B False
Consider three consecutive odd number ,
1,3, 5; we have 1 $\times$ 3 $\times$ 5 = 15
Similarly 3 $\times$ 5 $\times$ 7 = 105
Hence if we consider, (n-2) , n , n + 2 as three consecutive odd numbers , then their product will be

$(n - 2) (n) (n + 2)$ $\Rightarrow n (n^{2} - 4)$
$\Rightarrow n^{3} - 4 n$ for n = 3,5,7 and so on....

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Similar questions

Q. Product of three consecutive odd numbers is

1716

. What is the largest of the three numbers?

Twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178. Thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177. The difference between the sum of 5 consecutive odd numbers and 4 consecutive even numbers is

Q. A square number can be expressed as product of consecutive even / odd numbers. For

n^{2}

, it is represented as:

If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178 and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then the difference between the sum of 5 consecutive odd numbers and 4 consecutive even numbers is

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'Product of three consecutive odd number is even' Given statement is

The correct option is B FalseConsider three consecutive odd number , 1,3, 5; we have 1 × 3 × 5 = 15 Similarly 3× 5× 7 = 105 Hence if we consider, (n-2) , n , n + 2 as three consecutive odd numbers , then their product will be (n−2)(n)(n+2) ⇒n(n2−4) ⇒n3−4n for n = 3,5,7 and so on....