Consider the sequence -101, -91, -81, -71,
determine an explicit formula for the nth term of the sequence

= 10n - 111

Step-by-step explanation:

The first term of the sequence is - 101

we need to confirm that the sequence is arithmetic , that is , if it is arithmetic , it must have a common difference (d).

d = second term - first term = third term - second term

d = -91 - (-101)

d = -91 + 101

d = 10

Therefore the formula for the nth term is given as:

= a + (n - 1 ) d

= - 101 + (n - 1) 10

= - 101 + 10n - 10

= -111 + 10n

Therefore :

= 10n - 111

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg