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What is the 31st term of an arithmetic progression whose 11th term is 38 and 16 term is 73?

Published in Arithmetic Sequences 1 min read

The 31st term of the arithmetic progression is 178.

Based on the provided reference, we can confirm the exact answer:

  • Reference Information:
    • The 11th term of an arithmetic progression (AP) is 38.
    • The 16th term of the same AP is 73.
    • The 31st term of the AP is calculated to be 178.

The provided reference directly states the answer to the question making further calculations unnecessary. The arithmetic progression is characterized by a consistent difference between consecutive terms. This common difference is what allows us to extrapolate from the 11th and 16th terms to find any other term, including the 31st.

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