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
Prove:
The angle inscribed in a semicircle is a right angle.
The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />
Step-by-step explanation:
$1.80 per pound
The amount she's supposed to buy it is
1.80 × 12.5 = $22.5
She paid $21.25 for the 12.5 pounds, that means she saved
$22.5 - $21.25 = $1.25
the amount she saved per pound is
1.25/12.5 = $0.1 per pound
