Question

IN AN CERTAIN A.P.32th TERM IS TWICE THE 12th TERM . PROVE THAT 70th TERM IS TWICE THE 31st TERM

Answer 1

Answer:

Let first term = a

let the difference = d

now,

T12 = a+11d

T32 = a+31d

now,

3(T12) = T32

》3a+33d = a+31d

》2a = -2d

》a = -d

now,

T31 = a+30d = -d+30d = 29d

T70 = a+69d = -d+69d = 68d

now,

2(T31) = 58d which is equal to T60

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