Theorey of Eqns If A ,B R D ROOTS OF 375x2 - 25 x - 2 = 0 and sn - Maths -

Question

Theorey of Eqns
If A ,B R D ROOTS OF 375x2 - 25 x - 2 = 0
and sn = An + Bn ,then
Lim n-infinity nSigmar=1
sr is
a] 7/116 b] 1/12 c] 29/358
d] none
Answer is b , Please xplain

Anuradha Sharma · Accepted Answer

The given quadratic equation is, 375x2-25x-2=0So x =
25±625+3000750So x = 0 114 and -0 047So A= 0 114 and B = -0
047Now Sn= 0 114n+-0 047nlimn→∞ ∑r=1n 0 114r+-0
047r= 0 114+ 0 1142+ till infinity+-0 047+-0 0472+-0 0473 till
infinityIt is a combination of two GP so, = 0 1141-0 114+-0 0471+0
047=0 128-0 0448= 083~112

Theorey of Eqns If A ,B R D ROOTS OF 375x2 - 25 x - 2 = 0 and sn = An + Bn ,then Lim n-infinity nSigmar=1 sr is a] 7/116 b] 1/12 c] 29/358 d] none Answer is b , Please xplain

Theorey of Eqns

If A ,B R D ROOTS OF 375x2 - 25 x - 2 = 0

and sn = Aⁿ+ Bⁿ ,then

Lim _n-infinity ⁿSigma_r=1 s_r is

a] 7/116 b] 1/12 c] 29/358

d] none

Answer is b , Please xplain