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algebra intermediate
Problem
In an arithmetic sequence, the 7th term is 30, and the 11th term is 60. What is the 21st term of this sequence?
Solution
Let be the first term in this arithmetic sequence, and let be the common difference. Then the term is , and the term is . Subtracting these equations, we get , so .
Then the term is .
Then the term is .
Final answer
135