The ratio of that question is 7:12
The formula for obtaining the value of a term of a sequence is given as a
as a recursive formula.
Responses:
- The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
- The sequence of the information is a geometric sequence
<h3>How is the given information expressed as a sequence?</h3>
The amount of pocket money Smith gets = 2 × The amount he gets in the previous day
The amount Smith gets on the first day = R1
Required:
The given information expressed as a sequence.
Solution:
The amount of money smith gets can be expressed as follows;
Amount he gets on day 1 = R1
On day 2, R2 = 2·R1
On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1
On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1
On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1
The information written as a sequence is therefore;
- R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
- The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2
Learn more about geometric sequence here:
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It is 0 because anything multiplied by 0 is 0.
A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is . We hav to find the value of .
Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.
Since, 1 feet = 12 inches.
6 feet = inches.
Now, let us consider the triangle ABC in the attached image,
We have to find
=
= 1.309