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

MATHEMATICS
WAEC 1995

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

  • A. Un=19+7n
  • B. Un=19-7n
  • C. Un=18+7n
  • D. Un= 18-7n

Correct Answer: D. Un= 18-7n

Explanation

A.P 11, 4, -3

1st term = 11

A.P = a, a + d, a + 2d ...... a + (n - 1)d

If a = 11

a + d = 4

d = 4 - 11 = -7

nth term = a + (n-1)d

= 11 + (n-1)(-7)

= 11 - 7n + 7

= 18 - 7n



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