I'm guessing S^20 is actually referring to the 20th partial sum

, with

in the arithmetic case, and

in the geometric case.
(a) Combining like terms, we have

and invoking the formula

we end up with

(b) Multiply

by 1.1, then subtract this from

:


Answer:
The equation for the nth term of the given arithmetic sequence is: 
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is: 
Where
is the nth term,
is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:

So, the common difference d is 13
Now, equation for nth term will be:

So, the equation for the nth term of the given arithmetic sequence is: 
where n=1,2,3..
I am good with all math from alg-calc
12 ft shadow / 4 ft shadow = 3
16.5 ft / 3 = 5.5 ft
The zookeeper is 5.5 feet tall
Answer:
The numbers are 12, 21.
Step-by-step explanation:
x+(x+9)=33
x+x+9=33
2x+9=33
2x=33-9
2x=24
x=24/2
x=12
--------
x+9=12+9=21
Please mark me as Brainliest if you're satisfied with the answer.