Question

Which two number sequences could be generated from the following rules?

X: Start with 4 and add 2.

Y: Start with 4 and add 5.

A.
X: 4, 6, 8, 10, 12

Y: 4, 9, 14, 19, 24

B.
X: 4, 6, 8, 12, 14

Y: 4, 9, 14, 18, 23

C.
X: 4, 6, 8, 10, 12

Y: 4, 9, 13, 18, 23

D.
X: 4, 6, 8, 11, 12

Y: 4, 9, 14, 19, 24

Answer 1

To determine which of the number sequences could be generated from the given rules for X and Y, let's define each sequence clearly based on the rules:

**For Sequence X:**
- Start with 4 and add 2 each time.
- The sequence will be:
- 1st term: 4
- 2nd term: 4 + 2 = 6
- 3rd term: 6 + 2 = 8
- 4th term: 8 + 2 = 10
- 5th term: 10 + 2 = 12
- So the sequence for X is: **4, 6, 8, 10, 12**

**For Sequence Y:**
- Start with 4 and add 5 each time.
- The sequence will be:
- 1st term: 4
- 2nd term: 4 + 5 = 9
- 3rd term: 9 + 5 = 14
- 4th term: 14 + 5 = 19
- 5th term: 19 + 5 = 24
- So the sequence for Y is: **4, 9, 14, 19, 24**

Now, let's review the options:

A.
- X: 4, 6, 8, 10, 12 (Correct)
- Y: 4, 9, 14, 19, 24 (Correct)

B.
- X: 4, 6, 8, 12, 14 (Incorrect, does not follow the addition by 2 rule)
- Y: 4, 9, 14, 18, 23 (Incorrect, does not follow the addition by 5 rule)

C.
- X: 4, 6, 8, 10, 12 (Correct)
- Y: 4, 9, 13, 18, 23 (Incorrect, does not follow the addition by 5 rule)

D.
- X: 4, 6, 8, 11, 12 (Incorrect, does not follow the addition by 2 rule)
- Y: 4, 9, 14, 19, 24 (Correct)

Only **option A** satisfies both sequences correctly.

So, the correct answer is **Option A**.