Question

5, a2, a3, 19/2 find a2 and a3

Answer 1

Assuming the question indicates the terms are in  A.P. Let t1 be first term and d be common difference.

t1=5   t2=t1+d=a2   t3=t1+2d=a3

t4=t1+3d=19/2

⇒ 5 + 3*d = 19/2

⇒ d= 3/2

⇒ t2=a2=5+ d = 6.5 and t3=a3= 5 + 2*d = 8