2.1 Inductive reasoning

Find the next number in the sequence:

5, ^–10, 15, ^–20, ________

• 40

• -25

• 25

• -40

Tags

CCSS.4.OA.C.5

Find the next number in the sequence:

12, 6, 3, 1.5, 0.75 , ________

• 0.40

• 0.375

• 3.75

• 0.040

Find the next number in the sequence:

^–4, ^–1, 2, 5, 8, _____

• 11

• 12

• 13

• 10

Tags

CCSS.4.OA.C.5

Make a conjecture about the next item in the sequence: 12, 6, 3, 1.5, 0.75 , . . . . .

• multiply the previous number by 2

• divide the previous number by 2

• subtract the previous number by 2

• divide the previous number by 1/2

Make a conjecture about the next item in the sequence: ^–4, ^–1, 2, 5, 8, . . . . .

• multiply the previous number by 3

• divide the previous number by 3

• subtract the previous number by 3

• add the previous number by 3

Tags

CCSS.4.OA.C.5

Make a conjecture about the next item in the sequence: ^–2, 4, ^–8, 16, ^–32 , . . . . .

• multiply the previous number by 2

• divide the previous number by 2

• divide the previous number by -2

• multiply the previous number by -2

Make a conjecture about the value or geometric relationship. (State something that is true.)

Point P is the midpoint of segment NQ.

• NQ + NP = PQ

• NP = PQ

• NQ = NP

• QP + NQ = NP

Tags

CCSS.HSG.CO.C.10

Make a conjecture about the value or geometric relationship. (State something that is true.)

angle 1 and angle 4 form a linear pair

• angle 1 and angle 4 are complementary

• angle 1 is congruent to angle 4

• angle 1 + angle 4 = 90

• angle 1 and angle 4 are supplementary

Tags

CCSS.7.G.B.5

Determine whether the conjecture is true or false.

If S, T, and U are collinear and ST = TU, then T is the midpoint of segment SU.

Determine whether the conjecture is true or false.

If angle 1 and angle 2 are adjacent angles, then angle 1 and angle 2 form a linear pair.

Tags

CCSS.7.G.B.5