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If m times the mth term of an ap is equal to n times the nth term, find the 16th term |
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Answer» Step-by-step explanation: The given sequence is 20, 17, 14, .............. The nth term of this sequence is given by t
=a+(n−1)d. To find the FIRST negative term, t n
should be less than 0. We have 'a' = 20, 'd' = -3 a+(n−1)d<0 ⟹20+(n−1)(−3)<0 ⟹20+3−3n<0 ⟹23−3n<0 ⟹3n>23orn> 3 23
. The next natural number greater than 7.6 is 8. Hence, the 8th term is the first negative number. |
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