Consider the pattern. Determine the number of blocks in the 100th figure.
Fig 1
Fig 2
Fig 3

Answer

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Answer

\(\boxed{199}\)

Steps

Step 1 ：\(\text{Let's find the pattern of the number of blocks in each figure.}\)

Step 2 ：\(\text{In Figure 1, there is 1 block.}\)

Step 3 ：\(\text{In Figure 2, there are 3 blocks.}\)

Step 4 ：\(\text{In Figure 3, there are 5 blocks.}\)

Step 5 ：\(\text{We can see that the number of blocks increases by 2 each time.}\)

Step 6 ：\(\text{So, the number of blocks in the nth figure is given by the formula: } n + (n - 1) = 2n - 1\)

Step 7 ：\(\text{Now, let's find the number of blocks in the 100th figure.}\)

Step 8 ：\(\text{Using the formula, we have: } 2(100) - 1 = 200 - 1 = 199\)

Step 9 ：\(\boxed{199}\)