3 years ago

Can u please help me?!?!

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

Answer:

Step-by-step explanation: yes

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The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length

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Answer:

The explicit formula for Arithmetic Sequence is $a_n=7.02+0.33n$

Step-by-step explanation:

Given: Foot length & shoe size in AP.

$a_n$ is foot length and n is shoe size.i.e., $a_{12}=11\:and\:a_7=9.33$

To find: Formula for Arithmetic sequence .i.e., $a_n$

From question,

$a_{12}-a_7=11-9.33=1.67$

Also, we know that

$a_{12}=a_7+5d\\5d=a_{12}-a_7\\5d=1.67\\d=\frac{1.67}{5}\\\\d=0.33$

Now, consider

$a_7=a_1+6d\\a_7=a+6d\\a=a_7-6d\\a=9.33-6\times0.33\\a=9.33-1.98\\a=7.35$

Thus using formula of $a_n$ we get,

$a_n=a+(n-1)d\\a_n=7.35+(n-1)\times0.33\\a_n=7.35+0.33n-0.33\\a_n=7.02+0.33n$

Therefore, The explicit formula for Arithmetic Sequence is $a_n=7.02+0.33n$

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