Question

which term ap 32,28,24____ is the negative term and pls don't post irrelevant answers I have to submit the assignment so pls post correct answer​

Answer 1

Answer

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Given

• An AP 32,28,24

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Find

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• The negative term Or The first negative term.

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Solution

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$\underline{\bold{\texttt{We know that :}}}$

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$\bf \dag \ \ \ a_n = a + (n - 1)d$

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• a = First Term

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• $\rm a_n$ = nth Term

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• n = Number of term

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• d = Common Difference

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$\underline{\bold{\texttt{As per the question :}}}$

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We need to find the negative term and we know that it will be less than 0

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So,

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$\bf \dag \ \ 0 > a + (n - 1)d$

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• a = 32

• d = 28 - 32 = -4

• n = n

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➾ 0 > a + (n - 1)d

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➾ 0 > 32 + (n - 1)-4

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➾ 0 > 32 - 4n + 4

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➾ 0 > 36 - 4n

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➾ 4n > 36

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➾ n > $\rm \dfrac { 36 } { 4 }$

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➾ n > 9

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• So to get a negative term the term must be greater than 9 i.e the value of n should be greater than 9