hi

if the second term of a sequence is root(2) and the seventh term is 8 what is the nth term equation(Geometric sequence)
thanks

1 answer

ar = √2
ar^6 = 8

ar^6/ar = r^5 = 8/√2 = (√2)^6/√2 = √2^5

so, r= √2, a=1

Tn = ar^(n-1) = √2^(n-1)