A staircase pattern uses 1 block for step 1, 3 blocks for step 2, 5 blocks for step 3 (odd numbers). The blocks needed for the n-th step follow this odd-number rule. Write an expression for the number of blocks in the n-th step.

Question

Accepted Answer

2n - 1. The counts 1, 3, 5 are odd numbers; the n-th odd number is 2n - 1. Check: n = 3 gives 2(3) - 1 = 5.

A staircase pattern uses 1 block for step 1, 3 blocks for step 2, 5 blocks for step 3 (odd numbers).
The blocks needed for the n-th step follow this odd-number rule.
Write an expression for the number of blocks in the n-th step.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Forming Expressions practice

A staircase pattern uses 1 block for step 1, 3 blocks for step 2, 5 blocks for step 3 (odd numbers).The blocks needed for the n-th step follow this odd-number rule.Write an expression for the number of blocks in the n-th step.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Forming Expressions practice

A staircase pattern uses 1 block for step 1, 3 blocks for step 2, 5 blocks for step 3 (odd numbers).
The blocks needed for the n-th step follow this odd-number rule.
Write an expression for the number of blocks in the n-th step.