Math, asked by aarthi2192018, 2 months ago

Which term of the AP 10, 8, 6 is -12

Answers

Answered by TheUnknownLily
11

\leadsto \sf{a_n = a + ( n - 1 ) d } ㅤㅤㅤ

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\leadsto \sf{here\: , \: d \:=\: -2}  ㅤㅤㅤ

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\leadsto \sf{-12 \:=\: 10 + ( n - 1 ) (-2)} ㅤㅤ

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 \leadsto \sf{10 - 2n + 2 \:=\: -12 }ㅤㅤ

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 \leadsto \sf{ 12 + 2n = - 12}ㅤㅤ

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 \leadsto \sf{ -2n \:=\: - 12 - 12 }ㅤㅤㅤ

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 \leadsto \sf{ n \:=\: \dfrac{-24}{-2}}ㅤㅤㅤ

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 \leadsto \sf{ n \:=\: 12 }ㅤㅤㅤ

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\therefore \sf{12^{th} \: term\: of\: the\:AP\:=\:-12} ㅤㅤㅤ

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