Question

The largest term in the sequence a_n = is given by –

• A. $\frac { ( 400 ) ^ { 2 / 3 } } { 600 }$
• B. $\frac { 8 } { 89 }$
• C. $\frac { 49 } { 543 }$
• D. ) None

Answer 1

Answer: (C)

$\frac { 49 } { 543 }$

Answer 2

Let f(x) =

f '(x) = = 0 Ž x = (400)^1/3

Q 7 < (400)^1/3 < 8

\ a₇ = $\frac { 49 } { 543 }$, a₈ = $\frac { 8 } { 89 }$

Q a₇ > a₈ Ž a₇ is greatest term.