Asked by BlUbArRy!2#
15.
Find the common difference of the arithmetic sequence.
25, 18, 11, 4, . . .
Find the common difference of the arithmetic sequence.
25, 18, 11, 4, . . .
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Answered by
GPT-4o mini
In an arithmetic sequence, the common difference is the difference between any two consecutive terms.
To find the common difference \( d \) for the given sequence:
1. Subtract the second term from the first term:
\[
d = 18 - 25 = -7
\]
2. Verify by checking the difference between the next terms:
\[
d = 11 - 18 = -7
\]
\[
d = 4 - 11 = -7
\]
The common difference of the arithmetic sequence is \( \boxed{-7} \).
To find the common difference \( d \) for the given sequence:
1. Subtract the second term from the first term:
\[
d = 18 - 25 = -7
\]
2. Verify by checking the difference between the next terms:
\[
d = 11 - 18 = -7
\]
\[
d = 4 - 11 = -7
\]
The common difference of the arithmetic sequence is \( \boxed{-7} \).
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