Which of the following is an A.P.? | vedclass

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(C) An Arithmetic Progression $(A.P.)$ is a sequence of numbers in which the difference between consecutive terms is constant.For the sequence $2, 5,

Vedclass · Accepted Answer

$2, 5, 8, 11, \ldots$

Vedclass · Answer

(C) An Arithmetic Progression $(A.P.)$ is a sequence of numbers in which the difference between consecutive terms is constant.For the sequence $2, 5, 8, 11, \ldots$:$T_2 - T_1 = 5 - 2 = 3$$T_3 - T_2 = 8 - 5 = 3$$T_4 - T_3 = 11 - 8 = 3$Since the common difference $d = 3$ is constant,this sequence is an $A.P.$For the other options:$A$: $4-2=2$,$8-4=4$ (Not constant)$B$: $0-3=-3$,$3-0=3$ (Not constant)$D$: $4-0=4$,$-4-4=-8$ (Not constant)Therefore,$2, 5, 8, 11, \ldots$ is the correct $A.P.$

Which of the following is an $A.P.$?

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