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