A G.P had its third term as 9 times its first term and its second term is one-twenty-fourth of its fifth term. what is its fourth term?
If the GP has its third term as 9 times its first term, then the sequence is
a, ar, ar²
where a is the first term, ar is the second term, etc.
This means that
ar²/a = r²=9, or
r=3.
Similarly, the fifth term divided by the second term should be a^4/a^1 = a^3,
or 3³ = 27 and not 24.
Look for the fourth term in the sequence
a, ar, ar², ar³, ar^4....