Pierre cut the length of an 8 cm wide plank into nine pieces and arranged them as shown in the picture. The centrepiece is a squ
are. How long was the original plank?
1 answer:
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Answer:
The third sequence.
Step-by-step explanation:
In an arithmetic sequence, the difference between two consecutive terms is the same.
For each option, find the difference between consecutive terms:
First option:
.
.
.
The differences are not the same. As a result, this option is not an arithmetic sequence.
Second option:
.
.
.
The differences are not the same. As a result, this option is not an arithmetic sequence, either.
Third option:
.
.
.
The differences are all . As a result, this option is indeed an arithmetic sequence. Its common difference is
.
Fourth option:
.
.
The differences are varying between and
. As a result, this option is not an arithmetic sequence.