For a given arithmetic sequence, the 81st term, a₈₁, is equal to 533, and the 11th term, a₁₁, is equal to 43. Find the value of the 42nd term, a₄₂. a₄₂ = __
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Given that a₈₁ = 533 and a₁₁ = 43, we can use the formula for the nth term of an arithmetic sequence: aₙ = a₁ + (n-1)d Substitute the values for a₈₁ and a₁₁: 533 = a₁ + 80d 43 = a₁ + 10d Now, we can solve these two equations simultaneously to find the common Show more…
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