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Number25 it says thirty cubes were used to construct this 3 step staircase how many cubes would be used to construct a 10 step staircase of the same width

Number25 it says thirty cubes were used to construct this 3 step staircase how many-example-1

2 Answers

1 vote
The answer to your question is 275 cubes
User Milad Rashidi
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1 vote
This can be represented by the sequence 5 , 10 , 15 ......
- Arithmetic sequence with common difference 5

The sum of n terms = (n/2) [2a1 + (n - 1)d]

S10 = (10/2)[2*5 + (10-1)*5]
= 5 * (10 + 45)
= 5 * 55
= 275
So the answer is 275 cubes
User Alben
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7.2k points