2014
Mathematics
67ca00ce0c643c71d77dee1f
The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.
A.
89
B.
75
C.
73
D.
69
Correct Answer: 73
Explanation
a + 3d = 13 ...... (1) a + 9d = 31 ...... (2) (2) - (1): 6d = 18 d = 18/6 = 3 From (1), a + 3(3) = 13 a + 9 = 13 a = 13 - 9 = 4 Hence, T24 = a + 23d T24 = 4 + 23(3) T24 = 4 + 69 T24 = 73
a + 3d = 13 ...... (1) a + 9d = 31 ...... (2) (2) - (1): 6d = 18 d = 18/6 = 3 From (1), a + 3(3) = 13 a + 9 = 13 a = 13 - 9 = 4 Hence, T24 = a + 23d T24 = 4 + 23(3) T24 = 4 + 69 T24 = 73THIS WEEK's
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