Question

The first term of a geometric sequence is 216 and common ratio is 1/3 .Write the first five terms of the sequence.

Answer 1

The question is a geometric sequence.

The first term (a) = 216

The common ratio = r

The second term is

`ar\text{ = 216 x }(1)/(3)\text{ = 72}`

The third term is

`ar^2=216\text{ x }(1)/(3^2)\text{ = }(216)/(9)\text{ = 24}`

The fourth term is

`ar^3\text{ = 216 x }(1)/(3^3)\text{ = }(216)/(27)\text{ = 8}`

The fifth term is

`ar^4\text{ = 216 x }\frac{1}{3^4\text{ }}=\text{ }(216)/(81)\text{ = }2.67`

Thus, the first five terms of the geometric sequence are 216, 72, 24, 8 and 2.67.