Question

Write the first five terms of the sequence defined by the explicit formula.

Answer 1

Answer:

(a) 112, 28, 7, (7/4), (7/16)

Step-by-step explanation:

The sequence is given by the explicit formula

$a_{n} = 112 (\frac{1}{4} )^{n-1}$

The terms of the sequence are :

$a_{1} = 112 (\frac{1}{4} )^{1-1} = 112 (\frac{1}{4} )^{0} =112$

$a_{2} = 112 (\frac{1}{4} )^{2-1} = 112(\frac{1}{4} ) =28$

$a_{3} = 112 (\frac{1}{4} )^{3-1} = 112(\frac{1}{4} )^{2} = 7$

$a_{4} = 112 (\frac{1}{4} )^{4-1}=112(\frac{1}{4} )^{3} = \frac{7}{4}$

$a_{5} = 112 (\frac{1}{4} )^{5-1}=112 (\frac{1}{4} )^{4} = \frac{7}{16}$