Question

check whether -140 is a tern of an ap 11,8,5..
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Answer 1

Answer:

-140=11+(n-1)-3

-140=11-3n+3

-140=14-3n

-10=-3n

n=10/3

so -140 is not a Ap of the given ap

Answer 2

CHECK

$\color{red} \huge{an = a + (n - 1)d}$

check whether (-140) is term of ap

11,8,5 ......

an=> (-140)

a=> 11

d=> a2-a1

d=> 8-11

d=>(-3)

$\color{lightgreen}put \: values \: is \: formula$

$- 140 = 11 + (n - 1)( - 3) \\ \\ - 140 - 11 = -3n + 3 \\ \\ - 151 - 3 =- 3n \\ \\ - 154 =- 3n \\ \\ \frac{ - 154}{-3} = n$

HOPE ITS HELPS U ☺️

n is not equal to -140 hence -140 is not term of ap ..