Question

for the A.P given by a1 , a2 , ..............an,........,with non zero common difference, the equations satisfied are (a) a1+2a1+a3=0 . (b) a1-2a2+a3=0 .(c)a1+3a2-3a3-a4=0 (d)a1-4a2+6a3-4a4+a5=0

Answer 1

The equations satisfying are
(b) $a_{1}-2a_{2}+a_{3} = 0$
(d) $a_1-4a_2+6a_3-4a_4+a_5 = 0$

Answer 2

ARITHMETIC PROGRESSION AND PROPERTIES OF ARITHMETIC MEANS