Conjectures

Q.

If $m^{th}$ term of the series $63+65+67+69+....$and $3+10+17+24+...$ be equal, then $m=$

1. $11$

2. $12$

3. $13$

4. $15$

Q. Fill in the next term of the given series.
0, 1, 1, 2, 3, 5, 8, 13,

1. 17
2. 19
3. 21

Q.

Find the sum of all multiples of 9lying between 300 and 500?

Q. 2 + 4 + 6 = 12, 3 + 5 + 7 = 15 for such pattern conjecture is

1. n+2
2. $n^2$ - n
3. 3 + n
4. 3n

Q. Take any consecutive odd numbers and find the product as follows
1$\times$3$\times$5 = 15, 3$\times$5$\times$7 = 105 ..
5$\times$7$\times$9 = 315....... Find the conjecture for this pattern. [2 marks]

Q. 'Conjectures are based on intuition and observation.

1. true
2. false

Q. Look at the following pattern:
$1^2=1$
${11}^2=121$
${111}^2=12321$
${1111}^2=1234321$
${11111}^2=123454321$
Make a conjecture about each of the following:
${111111}^2=$
${1111111}^2=$
Check if your conjecture is true.

Q. Make a conjecture about the $n$th term of the following series.

1. 2
2. 2${}^{n-1}$
3. 3n - 2

Q. Define conjecture? Give an example

Q. The counter example to disprove that 'A quadilateral with four congruent sides is a square' is

1. Two triangles with same angles and same sides.
2. Sides are equal but all the angles need not be 90 degrees each.
3. Both A and B
4. Neither A nor B

Q. What is a conjecture? Give and example for it

Q. __________ implies to conclude or suppose from grounds or evidence insufficient to ensure reliability.

1. axioms
2. conjecture
3. corollary
4. theorem

Q. What is a conjecture?

1. A true statement
2. A statement that you believe is true based upon your observations
3. A proven statement about something you believe
4. A statement used by scientists