Question 7

Explanation

This sequence actually consists of two different patterns interleaved. Let's separate the terms based on odd and even positions to see the patterns more clearly.

First Pattern (Odd Terms)

We take the 1st, 3rd, 5th, 7th terms, and so on:

It is evident that each term increases by $5$:

• $1 + 5 = 6$
• $6 + 5 = 11$
• $11 + 5 = 16$

So the next term in this pattern is:

We can verify this with the last term: $21 + 5 = 26$. It matches.

Second Pattern (Even Terms)

Now we take the 2nd, 4th, 6th terms, and so on:

It appears that each term increases by $2$:

• $3 + 2 = 5$
• $5 + 2 = 7$

So the next term (filling the first blank) is:

Verify with the next term: $9 + 2 = 11$. It matches.

Conclusion

The first blank corresponds to the continuation of the Second Pattern ($9$), and the second blank corresponds to the continuation of the First Pattern ($21$).

Thus, the correct pair of numbers is $9, 21$.