The 9th term of the geometric sequence 6, 24, 96, ... is 393216
What is Sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The given sequence 6, 24, 96, ...
six, twenty four, ninety six
a is first term=6
r is common ratio = 24/6=4
The nth term of Geometric sequence aₙ=a.rⁿ⁻¹
9th term a₉=6(4)⁸
=6(65536)
=393216
Hence, the 9th term of the geometric sequence 6, 24, 96, ... is 393216