Choose the correct answers to the questions from the given options: $57,54,51,48, \ldots \ldots$.are in Arithmetic Progression. The value of the $8^{\text {th }}$ term is:
Explanation
To find the common difference, subtract each term from the previous term: 54 - 57 = -3, 51 - 54 = -3, 48 - 51 = -3. The common difference is -3. The nth term of an arithmetic progression is given by the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference. For this progression, a1 = 57 and d = -3. To find the 8th term, plug in n = 8: a8 = 57 + (8-1)(-3) = 57 - 21 = 36.
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