Clarke Deleon
03/16/2024 · Middle School
Write an expression to describe the sequence below. in the sequence, where \( n=1 \) for the first term. \( -98,-196,-294,-392, \ldots \) \( f(n)= \) Submit
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To find an expression for the sequence \( -98, -196, -294, -392, \ldots \), we first observe the pattern in the terms.
The first term is \( -98 \) (when \( n = 1 \)), the second term is \( -196 \) (when \( n = 2 \)), the third term is \( -294 \) (when \( n = 3 \)), and the fourth term is \( -392 \) (when \( n = 4 \)).
We can see that each term is a multiple of \( -98 \):
- The first term: \( -98 \times 1 = -98 \)
- The second term: \( -98 \times 2 = -196 \)
- The third term: \( -98 \times 3 = -294 \)
- The fourth term: \( -98 \times 4 = -392 \)
From this pattern, we can express the \( n \)-th term of the sequence as:
\[
f(n) = -98n
\]
Thus, the expression for the sequence is:
\[
f(n) = -98n
\]
Quick Answer
\( f(n) = -98n \)
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