If 5 times the 5^thterm of an AP is equal to 15 times its 15^thterm, then the value of its 20^thterm will be _______(a) 0(b) 1(c) 2(d) 3I got this question in an internship interview.This question is from Nth Term of Arithmetic Progression in division Arithmetic Progressions of Mathematics – Class 10

If 5 times the 5^thterm of an AP is equal to 15 times its 15^thterm, t

1.	If 5 times the 5^thterm of an AP is equal to 15 times its 15^thterm, then the value of its 20^thterm will be _______(a) 0(b) 1(c) 2(d) 3I got this question in an internship interview.This question is from Nth Term of Arithmetic Progression in division Arithmetic Progressions of Mathematics – Class 10
Answer» The correct CHOICE is (a) 0 For explanation I would say: 5(5^th term) = 15(15^th term) 5^th term = a + (5 – 1)d = a + 4d 15^th term = a + (15 – 1)d = a + 14d 5(a + 4d) = 15(a + 14d) 5a + 20d = 15a + 210d 20d – 210d = 15a – 5a -190d = 10a a = -19d Now, the 20^thterm = a + (20 – 1)d = a + 19d But a = -19d Hence, -19d + 19d = 0

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