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Given the sequence -8, -108, -208, -308, -408 Determine its nᵗʰ term

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Final answer:

To determine the nᵗʰ term of the given sequence, we use the formula aₙ = a₁ + (n-1) * d, where a₁ is the first term and d is the common difference. Plugging in the given values, we find that the formula for the nᵗʰ term is -100n + 92.

Step-by-step explanation:

The given sequence is -8, -108, -208, -308, -408. To determine the nth term of this sequence, we observe that the difference between adjacent terms is 100. Therefore, the pattern is a linear sequence with a common difference of -100. Using this information, we can write the general formula for the nth term as:

an = a1 + (n-1) * d

where a1 is the first term and d is the common difference. Plugging in the given values:

an = -8 + (n-1) * (-100)

Simplifying the equation gives:

an = -100n + 92

User Colin Ricardo
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