Question

The figures below show a pattern.

Find the expression that could be used to determine the number of squares in the nth figure.

Answer 1

The number of blocks in the nth figure will be (3n + 1).

Explanation:

See the attached figure where few arrangements are there.

The number of blocks in the first arrangement is (3 + 1)

Now, the number of blocks in the second arrangement is (3 × 2 + 1)

Again, the number of blocks in the third arrangement is (3 × 3 + 1)

So, the pattern says that the number of blocks in the nth arrangement will be (3 × n + 1) = (3n + 1) (Answer)