3 years ago

Tanvi runs 7.38 kilometers every morning. One day, she runs 0.73 kilometers and then

Mathematics

1 answer:

Rama09 [41]3 years ago

8 0

Answer:

6.65 kilometers

Step-by-step explanation:

7.38-0.73=6.65

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Given:

$a_1=-4$ and $a_n=a_{n-1}+9$ where $n\geq 2$ .

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The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

$a_n=a_{n-1}+d$

Where, d is the common difference.

We have,

$a_n=a_{n-1}+9$

Here, d=9.

The first term of the AP is $a_1=-4$ .

The explicit formula for an AP is:

$a_n=a_1+(n-1)d$

Substituting $a_1=-4$ and $d=9$ , we get

$a_n=-4+(n-1)9$

$a_n=-4+9n-9$

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