Question

Evaluate the geometric series. Round to the nearest hundredth. Please help me!!!

Answer 1

62.34

Explanation:

Substitute n = 0 to n = 5 into the expression and sum the terms, that is

3 [
`((3)/(2)) ^(0)` +
`((3)/(2)) ^(1)` +
`((3)/(2)) ^(2)` +
`((3)/(2)) ^(3)` +
`((3)/(2)) ^(4)` +
`((3)/(2)) ^(5)` ]

= 3 [ 1 +
`(3)/(2)` +
`(9)/(4)` +
`(27)/(8)` +
`(81)/(16)` +
`(243)/(32)` ]

= 3(
`(665)/(32)` )

= 3 × 20.781

= 62.34 ( to the nearest hundredth )