#2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)

2 answers:

8 0

# 2: 200, 100, 50, 25 ... geometrik dizisi göz önüne alındığında (Bu biraz zor)
Açık formülü yazın.
• Dizinin 15. terimini belirleyin?

lukranit [14]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The explicit formula for a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 200 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{100}{200}$ = $\frac{1}{2}$ , then

$a_{n}$ = 200 $(\frac{1}{2}) ^{n-1}$ ← explicit formula

The 15 th term is then

a₁₅ = 200 × $(\frac{1}{2}) ^{14}$

= 200 × $\frac{1}{16384}$

= $\frac{200}{16384}$ ← divide numerator/ denominator by 8

= $\frac{25}{2048}$

You might be interested in

What number divided by 5 equals 6

djyliett [7]

The answer your looking for is 30
30 ÷ 5 = 6

6 0

3 years ago

Read 2 more answers

and he's helping his friend Eddie is helping his friend understand how to identify functions from sets of ordered pairs which se

irakobra [83]

<h2>Answer:</h2>

First of all, let's define what a function is:

A function $f$ from a set $A$ to a set $B$ is a relation that assigns to each element $x$ in the set $A$ exactly one element $y$ in the set $B$ . The set $A$ is the domain (also called the set of inputs) of the function and the set $B$ contains the range (also called the set of outputs).

The ordered pairs has been plotted below. As you can see, the set B is the only relation that meets the requirements of the concept of function because that relation assigns each element $x$ in the set $A$ exactly one element $y$ in the set $B$ . For the other sets, at least one element $x$ in the set $A$ matches to two or more elements $y$ in the set $B$ .