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Maths-

General

Easy

Question

Write recursive formula and find the first term. $a subscript n equals 7 plus 1 fourth n$

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=a_(n-1)+1/4

Explanation:

We have given a explicit function $a subscript n equals 7 plus 1 fourth n$ .

We have to find the recursive formula and first term.

Step 1 of 2:
We have given explicit formula $a subscript n equals 7 plus 1 fourth n$ .
First term will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 7 plus 1 fourth n end cell row cell a subscript n equals 7 plus 1 fourth left parenthesis 1 right parenthesis end cell row cell a subscript n equals 29 over 4 end cell end table$
Step 2 of 2:
Now for recursive formula we will calculate .
So,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n minus 1 end subscript equals 7 plus 1 fourth left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 7 plus 1 fourth n minus 1 fourth end cell row cell a subscript n minus 1 end subscript equals a subscript n minus 1 fourth end cell row cell a subscript n equals a subscript n minus 1 end subscript plus 1 fourth end cell end table$

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