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Answer:

Find the 73rd term of the arithmetic sequence -28, -41, -54, ...... -964

Step-by-step explanation:

U73 = -28 + (73 - 1)-13

U73 = -28 - 949 + 13

U73 = -964

The 73rd term of the arithmetic sequence as described is; -944

By observation, the first term of the sequence is; a = -28

The common difference, d = -41 - (-28) = -13

The 73rd term is therefore given as;

  • T(73) = a + (73-1) d

  • T(73) = -28 + (72 × -13)

  • T(73) = -28 -916

T(73) = -944

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