Find the nth term Un of the A.P., 11, 4, -3,....... .

Assessment: WAEC SSCE - General Mathematics - 1995 (Objective) Subject: General Mathematics

Question 1 Report

Find the nth term Un of the A.P., 11, 4, -3,....... .
Answer Details
The given sequence is an arithmetic progression (AP) since each term is obtained by subtracting 7 from the previous term. Let the first term be a = 11, and the common difference be d = -7. The nth term of an arithmetic progression can be found using the formula: Un = a + (n - 1)d Substituting the values of a and d, we get: Un = 11 + (n - 1)(-7) Simplifying, we get: Un = 11 - 7n + 7 Un = 18 - 7n Therefore, the nth term Un of the given AP is 18 - 7n. The answer is (d) Un= 18-7n.

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