The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?
A. -22
B. -25
C. -19
D. -28
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {T_2} = a + d = 17\,.......\,\left( 1 \right) \cr & {T_8} = a + 7d = - 1\,......\,\left( 2 \right) \cr & {\text{on solving}}\left( 1 \right)\,{\text{and}}\,\left( 2 \right) \cr & d = - 3\,\& \,a = 20 \cr & {T_{14}} = a + 13d \cr & \,\,\,\,\,\,\,\,\,\, = 20 + 13\left( { - 3} \right) \cr & \,\,\,\,\,\,\,\,\,\, = - 19 \cr} $$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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