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 followin

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?

Quantrex Academy · Accepted Answer

Correct answer: B. Q₁, Q₂, Q₃, are in AP with common difference 6

Since, T_r=3 r^2+2 r-1 array rlrl & & T_ r+1 & =3(r+1)^2+2(r+1)-1 & & Q_r & =T_ r+1 -T_r=3[2 r+1]+2[1] & Q_r & =6 r+5 & Q_ r+1 & =6(r+1)+5 array Common difference =Q_ r+1 -Q_r=6

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?

Options

Correct answer

Step-by-step solution

More from Sequences and Series