Question

for what the value of n, are the nth term of two A.Ps 63,65,67,..... and 2,10,17,....equal?

Answer 1

an = a+(n-1)d

thus, 63 + (n-1) 2 = 2+(n-1) 8

63 + 2n - 2 = 2 + 8n - 8

61 -6n = -6

-6n = 67

n = 67/6

thus, n is not intezer so there is no value of n which both have same value