2002
Mathematics
67ca00ce0c643c71d77dee1f
If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.
A.
2a + 2 = 0
B.
3a + 5d = 0
C.
a + 3d = 0
D.
a + 2d = 0
Correct Answer: a + 3d = 0
Explanation
Tn = a + (n−1)d (nth term of an AP). T9=5T5 a + 8d = 5(a+4d) ⟹a + 8d = 5a + 20d 5a − a + 20d − 8d = 0 ⟹ 4a + 12d = 0 a + 3d = 0
Tn = a + (n−1)d (nth term of an AP). T9=5T5 a + 8d = 5(a+4d) ⟹a + 8d = 5a + 20d 5a − a + 20d − 8d = 0 ⟹ 4a + 12d = 0 a + 3d = 0THIS WEEK's
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