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Answer:
5914
Step-by-step explanation:
To find the 2157th term of an arithmetic sequence where the 187th term is 4 and the common difference is 3, you can use the formula for the nth term of an arithmetic sequence:
\[a_n = a_1 + (n-1)d\]
Given that the 187th term is 4 and the common difference is 3, we can substitute these values into the formula:
\[4 = a_1 + (187-1) \times 3\]
\[4 = a_1 + 186 \times 3\]
\[4 = a_1 + 558\]
\[a_1 = 4 - 558\]
\[a_1 = -554\]
Now that we have found the first term, we can find the 2157th term by plugging it back into the formula:
\[a_{2157} = -554 + (2157-1) \times 3\]
\[a_{2157} = -554 + 2156 \times 3\]
\[a_{2157} = -554 + 6468\]
\[a_{2157} = 5914\]
Therefore, the 2157th term of the arithmetic sequence with a common difference of 3 and where the 187th term is 4 is 5914.