#### Answer

a) First Four Terms: $1.5 , 2.25, 3.375, 5.0625$
b) Limit does not exist

#### Work Step by Step

$$\sum_{k=1}^{\infty} 1.5^k$$
Part A)
$a_1 = 1.5^1 = 1.5$
$a_2 = 1.5^2 = 2.25$
$a_3 = 1.5^3 = 3.375$
$a_4 = 1.5^4 = 5.0625$
Part B)
The limit seems to not exist because the terms of the sequence are increasing without a bound as $k$ increases.