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
1 answer:
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
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.
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
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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