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denpristay [2]
3 years ago
9

In a list of 200 numbers,each number after the first is 4 more then the number that comes before it.What is the difference betwe

en the first and the last number on this list?
Mathematics
1 answer:
9966 [12]3 years ago
3 0
Let a₁ = the first number.

Because each number is 4 more than the number before it, the list of numbers forms an arithmetic sequence with a common difference of d = 4.

The n-th term is
a_{n} = a_{1}+(n-1)d

The 200-th term is
a₂₀₀ = a₁ + (200 - 1)*4
      = a₁ + 796
a₂₀₀ - a₁ = 796

Because a₂₀₀ is the last number on the list, the difference between the first and the last number on the list is 796.

Answer: The difference is 796.

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\qquad \qquad\huge \underline{\boxed{\sf Answer}}

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