Paragraph: Let V r denotes the sum of the first r terms of an arithmetic progression ( A P ) whose first term is r and the common difference is ( 2 r − 1 ) . Let T r = V r + 1 − V r − 2 and Q

Question

Paragraph: Let V r ​ denotes the sum of the first r terms of an arithmetic progression ( A P ) whose first term is r and the common difference is ( 2 r − 1 ) . Let T r ​ = V r + 1 ​ − V r ​ − 2 and Q r ​ = T r + 1 ​ − T r ​ for r = 1 , 2 , … Question: Which one of the following is a correct statement?

TestHub · Accepted Answer

Since, T r ​ = 3 r 2 + 2 r − 1 ⇒ ⇒ ​ ∴ ∴ Q r ​ Q r + 1 ​ ​ T r + 1 ​ Q r ​ = 6 r + 5 = 6 ( r + 1 ) + 5 ​ = 3 ( r + 1 ) 2 + 2 ( r + 1 ) − 1 = T r + 1 ​ − T r ​ = 3 [ 2 r + 1 ] + 2 [ 1 ] Common difference = Q r + 1 ​ − Q r ​ = 6

Mathematics - Sequence & Series Question with Solution | TestHub

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