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Maths-

General

Easy

Question

Write an explicit formula for the arithmetic sequence.
a_n = 12 - 5n

hint Hint:

Recursive Formula is a formula that defines the each term of sequence using the previous/preceding terms.

The correct answer is: a_(n-1)=a_n+5.

Explanation:

We have given an explicit formula an = 12 - 5n

We have to find the recursive formula

Step 1 of 1:
We have given a explicit formula a_n = 12 - 5n
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript 1 equals 12 minus 5 end cell row cell a subscript 1 equals 7 end cell end table$
Now,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n minus 1 end subscript equals 12 minus 5 left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 12 minus 5 n plus 5 end cell row cell a subscript n minus 1 end subscript equals a subscript n plus 5 end cell end table$
So, The recursive formula is $a subscript n minus 1 end subscript equals a subscript n plus 5$ .

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