f (n + 1) = f(n) – 5 is the recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1
<h3><u>Solution:</u></h3>
Given that,
f(1) = 6 and n ≥ 1
Given sequence is 6, 1, -4, -9, -14
<em><u>Let us first analyse the logic used in this sequence</u></em>
6 - 5 = 1
1 - 5 = -4
-4 - 5 = -9
-9 - 5 = -14
Thus the next terms in sequence are obtained by subtracting 5 from previous term
Thus a recursive formula can be formed as:
f (n + 1) = f(n) – 5
Where "n" is the nth term
Let us check our recursive formula:
f(1+ 1) = f(1) - 5
f(2) = f(1) - 5
f(2) = 6 - 5 = 1
Thus we have got f(2) = 1 which is correct as per given sequence
The answer would be 34.8 I’m pretty sure
Answer:
$2.97
Step-by-step explanation:
5.924 g
Step-by-step explanation:
The average weight of a boron atom is 10.811 atomic mass units (AMU). Therefore 3.3 x 10^23 atoms of boron will weight;
3.3 x 10^23 * 10.811 = 3.56763 x 10 ^ 24
One (1) gram = 6.022 x 1023 AMU. Therefore to convert AMU to grams;
3.56763 x 10 ^ 24 / 6.022 x 10^23
= 5.924 g
Learn More:
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