Question

Sn and Sn are the Sum of n terms
[
frac{S_{n}}{S_{n}^{prime}}=frac{5 n+2}{11 n-7} text { of two AP's }
]
det To and To be the sixth tems of two AP? ( therefore frac{T_{6}}{T_{6}^{prime}}=9 )
( T_{6}=S_{6}-S_{5}=(5(6)+2)-(5(5)+2)=32-27=5 )
[
T_{6}^{6}=8^{prime}-S_{5}^{prime}=(11(6)-7)-(11(5)-7)=59-48=-41=11
]
( therefore frac{T_{6}}{T_{6}^{prime}}=frac{S}{11} )
¿i Ratio of theie sixth teems is 5: 11

# 74. The sum of 'n' terms of two A.Ps are in the ratio of (5n+2) (11n-7) The ratio of their sixth terms is (a) 32:59 (b) 1:1 (C) 2:1 (d) 5:11 75. If m, p, q are consecutive terms in an A.P. then p is -

Solution