2 years ago

Select the correct answer.

Mathematics

1 answer:

Semenov [28]2 years ago

4 0

Answer:

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What are the first three terms of the sequence represented by the recursive formula

Dimas [21]

Answer: B. 0.25, 3.75, 5.2

Step-by-step explanation:

Since, the given sequence, $a_n= n^2 -a_{n-1}$

And, $a_5=14\frac{1}{4}$

On substituting n=5 in the given recursive formula,

We get, $a_5=5^2-a_{5-1}\implies a_5=25-a_4\implies 14\frac{1}{4}= 25-a_4\implies a_4=10\frac{3}{4}$

For, n=4 $a_4=4^2-a_{4-1}\implies a_4=16-a_3\implies 10\frac{3}{4}= 16-a_3\implies a_3=5\frac{1}{4}\implies a_3=5.25$

For, n=3 $a_3=3^2-a_{3-1}\implies a_3=9-a_2\implies 5.25= 9-a_2\implies a_2=3.75$

For, n=2 $a_2=2^2-a_{2-1}\implies a_2=4-a_1\implies 3.75= 4-a_1\implies a_1=0.25$

Thus, First second and third terms are,

$a_1=0.25$ , $a_2=3.75$ and $a_3=5.25$ .

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saul85 [17]

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Write 7 as a fraction with the 9 in the denominator

mel-nik [20]

So 7=7/1
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answe ris 63/9

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tiny-mole [99]

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