19mtimlickoyz6wv
19mtimlickoyz6wv 19mtimlickoyz6wv
  • 22-11-2017
  • Mathematics
contestada

Consider the first four terms of an arithmetic sequence below.
Determine the recursive and explicit formulas that describe this sentence.

Consider the first four terms of an arithmetic sequence below Determine the recursive and explicit formulas that describe this sentence class=

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altavistard
altavistard altavistard
  • 22-11-2017
7, 13, 19 and 25 have a common difference:  6.  
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula:  a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given).  This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13.  This corresponds to n = 2.

and so on.


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