G. 36 people. There were only 36 people choose documentaries.
= 1455
generate a few terms of the sequence using
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using
=
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and
= 5
=
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
6000 x 10% x 5
=600x5
=3000
Answer:

☪ First , Let's know about Exponential Equation :
⤿ Let's take an equation :
.
In this equation , the variable ' x ' is the exponent of the base 2. Such an equation in which variable appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :
- If
, then 
- If
, then
and x = 0
---------------------------------------------------------------
☯ Now , Let's Solve :

In this equation , the variable 'x' is the exponent of the base 8 .Write
in exponential form with the base of 2
↦ 
Write the number 2 in exponential form with the base of 2.
↦ 
Since the bases are same , cut 2 on both sides and set the exponents equal.
↦ 
↦ 
Divide both sides by 3
↦ 
↦ 
And we're done!
Hope I helped!
Have a wonderful day! ツ
~TheAnimeGirl ♡
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