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Find the first five terms of the sequence whose general term is given by 𝑎 sub 𝑛 is equal to 𝑛 multiplied by 𝑛 minus 34, where 𝑛 is greater than or equal to one.
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In order to find the first five terms of a sequence where 𝑛 is greater than or equal to one, we need to substitute the numbers one, two, three, four, and five into the general formula.
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This will give us values for 𝑎 sub one through 𝑎 sub five.
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When 𝑛 is equal to one, we have one multiplied by one minus 34.
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Using our order of operations, we need to work out the calculation inside the parentheses or brackets first.
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One minus 34 is equal to negative 33.
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Multiplying this by one gives us negative 33.
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This is the first term of the sequence.
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When 𝑛 equals two, we have two multiplied by two minus 34.
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This simplifies to two multiplied by negative 32.
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Recalling that multiplying a positive number by a negative number gives a negative answer, the second term in the sequence is negative 64.
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When 𝑛 is equal to three, we have three multiplied by three minus 34.
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Three minus 34 is negative 31.
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And multiplying this by three gives us negative 93.
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We repeat this for 𝑛 equals four, giving us a fourth term of negative 120.
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When 𝑛 is equal to five, 𝑛 multiplied by 𝑛 minus 34 is negative 145.
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The first five terms of the sequence where the general term is 𝑎 sub 𝑛 equals 𝑛 multiplied by 𝑛 minus 34 are negative 33, negative 64, negative 93, negative 120, and negative 145.