Answer:
0.527
Explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term
The sequence given in the above Question is a geometric sequence.
The formula for the nth term of a geometric sequence is given as:
an = a × r ^n - 1
Where
a = First term
r = Common ratio
n = nth term
From the above question, we are asked to find the 7th term
Hence:
a = 6
Common ratio = Second term/first term
= 4/6 = 2/3
n = 7
The 7th term = 6 × (2/3 )^7 - 1
= 6 × (2/3)^6
= 6 × (2/3)⁶
= 0.5267489712
Approximately to the nearest thousandths the 7th term = 0.527