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Question

Question: If <img src="https://cdn.pureessence.tech/canvas_94.png?top_left_x=1070&top_left_y=1223&width=300&he...

If = 1716\frac { 17 } { 16 }, then n is equal to

A

7

B

12

C

8

D

None of these

Answer

7

Explanation

Solution

Ž n2[2×5+(n1)4]n+12[2×7+(n+11)2]\frac { \frac { \mathrm { n } } { 2 } [ 2 \times 5 + ( \mathrm { n } - 1 ) 4 ] } { \frac { \mathrm { n } + 1 } { 2 } [ 2 \times 7 + ( \mathrm { n } + 1 - 1 ) 2 ] } = 1716\frac { 17 } { 16 }

Ž = 1716\frac { 17 } { 16 }Ž = 1716\frac { 17 } { 16 }

Ž 2n2+3nn2+8n+7\frac { 2 n ^ { 2 } + 3 n } { n ^ { 2 } + 8 n + 7 }= 1716\frac { 17 } { 16 }Ž 32n2 + 48n = 17n2 + 136n + 119

Ž 15n2 – 88n –119 = 0

Ž (n –7) (15n + 17) = 0 Ž n = 7