Question

For an AP it was observed that 7×a11 = 11×a7 which term of the AP is zero

Answer 1

Answer:

zeroth term of the AP is zero

Step-by-step explanation:

let the first term be a

Hence, a11 = a +10d

             a7  = a+6d

∴    7×a11 = 11×a7

or,  7(a+10d) = 11(a+6d)

or, 7a+70d    =  11a+66d

or,      4a        =      4d

or,        a         =       d

let tn be zero

tn = a+ (n-1)×d = a+ an - a = an ⇒ 0

                                         or, n   = 0