Home
Class 9
MATHS
Take any three consecutive even numbers ...

Take any three consecutive even numbers and add them , say ,
` 2+4 + 6= 12 , 4 +6 + 8 = 18 , 6 + 8 + 10 = 24 , 8 + 10 + 12 = 30` and so on.
Is there any pattern can you guess in these sums? What can you conjecture about them?

Text Solution

Verified by Experts

The correct Answer is:
The possible three conjuctures are:
a) The sum of any three consecutive number is always even.
b) The sum of any three consecutive number is always divided by 3.
c) The sum of any three consecutive number is always divided by 6.
Promotional Banner

Topper's Solved these Questions

  • PROOFS IN MATHEMATICS

    NCERT TELUGU|Exercise EXERCISE - 15.4|9 Videos

  • PROOFS IN MATHEMATICS

    NCERT TELUGU|Exercise EXERCISE - 15.2|6 Videos

  • PROBABILITY

    NCERT TELUGU|Exercise EXERCISE 14.1|21 Videos

  • QUADRILATERALS

    NCERT TELUGU|Exercise EXERCISE|80 Videos

Similar Questions

Explore conceptually related problems

Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12} . Find A ∪ B .

The following geometric arrays suggest a sequence of numbers. (a) Find the next three terms . (b) Find the 100^(th) term . (c) Find the n^(th) term . The dots here arranged in such a way that they form a rectangle. Here T_1 =2 , T_2 = 6 , T_3 = 12 , T_4 = 20 and so on. Cay you guess what T_5 is ? What about T_6 ? What about T_n ? Make a conjecture about T_n .

Let A = {2, 4, 6, 8, 10, 12} and B = {3, 6, 9, 12, 15}. Find AuuB and AnnB .

If A = {2, 4, 6, 8, 10} and B = {3,6, 9, 12, 15}, find A - B and B - A.

Let A = {1, 2, 3, 4, 5, 6, 7} and B = {2, 4, 6, 8, 10, 12}. Find the intersection of A and B.

Find the variance and standard deviation of the following data 5,12 , 3 , 18 , 6 , 8 , 2, 10 .

Complete the pattern. 8 – 6 = 2 8 – 5 = 3 8 – 4 = 8 – 3 = 8 – 2 = 8 – 1 = 8 – 0 = 8 – (–1) = 8 – (–2) = 8 – (–3) = 8 – (–4) = When you subtract a positive integer in which direction do you move on the number line?

Complete the pattern. 8 – 6 = 2 8 – 5 = 3 8 – 4 = 8 – 3 = 8 – 2 = 8 – 1 = 8 – 0 = 8 – (–1) = 8 – (–2) = 8 – (–3) = 8 – (–4) = When you subtract a negative integer, in which direction do you move on the number line?

The sum of numbers formed by taking all the digits 2,4,6,8 is