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Which term of the AP 24, 21, 18, 15... i...

Which term of the AP 24, 21, 18, 15... is the first negative term

Text Solution

Verified by Experts

`T_n = a+(n-1)d`
`a = 24`
`d= 21-24 = -3`
`T_n = 24 + (n-1)(-3)`
`T_n = 24 - 3n + 3 = 27 - 3n`
`T_n < 0`
`27-3n < 0`
`27 < 3n`
...
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