What is the explicit formula for the arithmetic sequence 4 fifths comma 29 over 30 comma 17 over 15 comma 13 tenths ?

The common difference is 29/30 − 4/5 = 29/30 − 24/30 = 1/6. The formula for an arithmetic sequence is aₙ = a₁ + d(n − 1), so here aₙ = 4/5 + (1/6)(n − 1). This matches the choice stating “A sub n is equal to 4 fifths plus 1 sixth times (n minus 1).”

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