Question

Which of the following are A.P. write Yes or No. a) 0,-4,-8,-12,…​

Answer 1

Answer:

Yes

Step-by-step explanation:

Answer 2

$Given \: sequence : 0,-4,-8,-12 \ldots$

$First \:term (a = a_{1}) = 0$

$i) a_{2} - a_{1} = -4 - 0 = -4 \: --(1)$

$ii) a_{3} - a_{2} = -8 - (-4)$

$= -8 + 4$

$= -4 \: --(2)$

$iii) a_{4} - a_{3} = -12 - (-8)$

$= -12 + 8$

$= -4 \: --(3)$

/* From (1), (2) and (3), we get */

$a_{2} - a_{1} = a_{3} - a_{2} = a_{4} - a_{3}=-4$

Therefore.,

$\green { Given \: sequence \: is \:an \: A.P. }$

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