The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term.

0.527

Step-by-step 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

hope this .

r3t40