Mathematics: Can someone pls help me

Can someone pls help me - id5239065, whocares1234

tobyclyde

19.01.2022

D. $f(n)=2\cdot 2^{n-1}$

Step-by-step explanation:

From the given table, you have that

$a_1 =2\\ \\a_2=4\\ \\a_3=8\\ \\a_4=16\\ \\a_5=32\\ \\a_6=64$

If a_n are terms of geometric series, then

$a_n=a_{n-1}\cdot r$

Since

$4=2\cdot 2\ \ \{a_2=2a_1\}\\ \\8=4\cdot 2\ \ \{a_3=2a_2\}\\ \\16=8\cdot 2\ \ \{a_4=2a_3\}\\ \\...,$

you can state that r=2 and a_1=2.

The explicit formula for the geometric series is

$f(n)=a_1\cdot r^{n-1},$

$f(n)=2\cdot 2^{n-1}$

Hence, option D is correct

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nestergurl101

24.02.2022

the angle measures are 20 degrees, 24 degrees, and 136 degrees

20+(y-10)+4y=180

y=34

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