If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be
A. 0
B. 1
C. 2
D. -1
Answer: Option A
Solution(By Examveda Team)
Let the first term of the AP be a and the common difference = d7th term = A7 = a + 6d
11th term = A11 = a + 10d
According to question,
⇒ 7 × (a + 6d) = 11 × (a + 10d)
⇒ 7a + 42d = 11a + 110d
⇒ 11a - 7a = 42d - 110d
⇒ 4a = -68d
⇒ a = -17d
⇒ a + 17d = 0 = A18
Related Questions on Progressions
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
A. 5
B. 6
C. 4
D. 3
E. 7
The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
A. 600
B. 765
C. 640
D. 680
E. 690
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