Find a_12 given 8, 3, -2, ...

charmbraqdy

charmbraqdy

Answered question

2022-11-08

Find a 12 given 8, 3, -2, ...

Answer & Explanation

Milton Gilmore

Milton Gilmore

Beginner2022-11-09Added 20 answers

Find a 12 given 8, 3, -2, ...Find a12 given 8,3,−2...
Note that each term is 5 less than the previous term. This implies that the sequence is arithmetic and of the form
a n = a 1 + ( n - 1 ) d
where a1 is the first term and d is the common difference between the terms.
In this example a 1 = 8 and d=−5
The "formula" for this sequence is then
a n = 8 + ( n - 1 ) ( - 5 )
a n = 8 - 5 n + 5
a n = - 5 n + 13
To find a 12 (the 12th term), plug in 12 for n.
a 12 = - 5 ( 12 ) + 13 = - 60 + 13 = - 47

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