Using linear interpolation, determine the value of (P / A, 61/2%,10)from the compound interest tables. Compute this

Question:

Using linear interpolation, determine the value of (P / A, 61/2%,10)from the tables. Compute this same value using the equation. Why do the values differ?
Compound Interest
Compound interest (or compounding interest) is interest calculated on the initial principal, which also includes all of the accumulated interest from previous periods on a deposit or loan. Thought to have originated in 17th century Italy, compound...