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  • The list of numbers – 10, – 6, – 2, 2... is (A) an AP with d = – 16 (B) an AP with d = 4 (C) an AP with d = – 4 (D) not an AP

The list of numbers – 10, – 6, – 2, 2... is

(A) an AP with d = – 16

(B) an AP with d = 4

(C) an AP with d = – 4

(D) not an AP

Answers (1)

\\a\textsubscript{1}= - 10, a\textsubscript{2} = - 6, a\textsubscript{3} = -2, a\textsubscript{4} = 2\\ a\textsubscript{2} - a\textsubscript{1 }= - 6 - (-10)\\ \ \ \ \ \ \ \ \ \ \ \ = - 6 + 10 \\ = 4\\ a\textsubscript{3} - a\textsubscript{2 }= -2 - (-6)\\ \ \ \ \ \ \ \ \ \ \ = - 2 + 6 \\ \ \ \ \ \ \ \ \ \ \ = 4\\ a\textsubscript{4} - a\textsubscript{3 }= 2 - (-2)\\ \ \ \ \ \ \ \ \ \ \ = 2 + 2\\ \ \ \ \ \ \ \ \ \ \ = 4\\

Hence the given sequence is an AP with d = 4                                  

ANS - (B)         

Posted by

infoexpert21

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