The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
A. 56
B. 65
C. 59
D. 62
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {T_2} = a + d = 8\,.......\,\left( 1 \right) \cr & {T_6} = a + 5d = 20\,......\,\left( 2 \right) \cr & {\text{on solving}}\left( 1 \right)\,{\text{and}}\,\left( 2 \right) \cr & d = 3\,\& \,a = 5 \cr & {T_{20}} = a + 19d \cr & \,\,\,\,\,\,\,\,\,\, = 5 + 19\left( 3 \right) \cr & \,\,\,\,\,\,\,\,\,\, = 62 \cr} $$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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