The list of numbers -10, -6, -2, 2, ldots is | vedclass

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Question

(A) The given sequence is $-10, -6, -2, 2, \ldots$Here,the first term $a_1 = -10$,the second term $a_2 = -6$,the third term $a_3 = -2$,and the fourth

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an $AP$ with $d = 4$

Vedclass · Answer

(A) The given sequence is $-10, -6, -2, 2, \ldots$Here,the first term $a_1 = -10$,the second term $a_2 = -6$,the third term $a_3 = -2$,and the fourth term $a_4 = 2$.To check if the sequence is an $AP$,we calculate the common difference $d$ between consecutive terms:$d_1 = a_2 - a_1 = -6 - (-10) = -6 + 10 = 4$$d_2 = a_3 - a_2 = -2 - (-6) = -2 + 6 = 4$$d_3 = a_4 - a_3 = 2 - (-2) = 2 + 2 = 4$Since the difference between consecutive terms is constant $(d = 4)$,the given list of numbers forms an $AP$ with a common difference $d = 4$.

The list of numbers $-10, -6, -2, 2, \ldots$ is

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