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Maths-

General

Easy

Question

Gabriela is selling friendship bracelets for a school fundraiser. After the first day, she has 234 bracelets left. After the second day, she has 222 bracelets left. Assuming the sales pattern continues and it is an arithmetic sequence, how many bracelets will Gabriela have to sell after the fifth day?

hint Hint:

A sequence is said to be arithmetic if the common difference is always constant.

The General formula of any AP is $a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d$ .

The correct answer is: a_n=230.

We have given after the first day, she has 234 bracelets left. After the second day, she has 222 bracelets left. Assuming the sales pattern continues and it is an arithmetic sequence.

We have to find the how many bracelets will Gabriela have to sell after the fifth day?

Step 1 of 1:
It is an AP with first number 234 and common difference -1
Now the explicit formula will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 234 plus left parenthesis n minus 1 right parenthesis left parenthesis negative 1 right parenthesis end cell row cell a subscript n equals 235 minus n end cell end table$
Now after 5^th day the number of bracelets will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 235 minus n end cell row cell a subscript n equals 235 minus 5 end cell row cell a subscript n equals 230 end cell end table$

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