Arithmetic and Geometric Sequences 1. Consider the sequence: 3, 7, 11, 15...

Find an explicit formula for the n-th term of this sequence.
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Step-by-step explanation:

This is arithmetic since adding 4 to each term gets us to the next term in the sequence. That means that the common difference, d, is 4. The general arithmetic explicit formula is

and using the info given when a1 = 3 and d = 4:

or, if you want to make it easier to deal with:

(I just distributed through the parenthesis and then combined like terms. As you can see, arithmetic sequences are linear).

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