To find the total length of wood the boy used, we need to add up the lengths of all 10 pieces of wood.
The first piece was 5cm long.
The second piece was 10cm long, which is 5cm longer than the first piece.
The third piece was 15cm long, which is 5cm longer than the second piece.
Continuing this pattern, the fourth piece was 20cm long (15cm + 5cm), the fifth piece was 25cm long (20cm + 5cm), and so on.
Therefore, the length of each piece can be represented by the arithmetic sequence: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
To find the total length of wood used, we need to add up all the lengths:
5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50 = 275.
Therefore, the boy used a length of wood that was 275cm long.
A boy decided to cut 10 pieces of wood from a length of wood so that the first piece was 5cm the second 10cm, the third 15cm, the fourth 20cm and so on until he had cut 10 pieces, each one 5cm longer than the one he had cut before. What length of the wood did he use
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