Answer:

Step-by-step explanation:
Given

Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term

Calculate common ration
or 

So, the nth term is:


29
Note that consecutive numbers have a difference of 1 between them.
let n be the smallest integer then the three integers can be expressed as
n, n + 1 , n + 2
the sum is then
n + n + 1 + n + 2 = 90
3n + 3 = 90
subtract 3 from both sides of the equation
3n = 90 - 3 = 87
divide both sides by 3
n =
= 29
the three integers are 29, 30, 31 → the smallest is 29
Answer:
0.3
Step-by-step explanation:
PEMDAS
-3(-2)^2-12(-2)+3
-3(4)-12(-2)+3
-12-12(-2)+3
-12+24+3
12+3
=15
Answer: 709
Step-by-step explanation:
The formulas we use to find the required sample size :-
1. 
, where
= population standard deviation,
E = Margin of error .
z* = Critical value
2.
, where p= prior estimate of population proportion.
3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes
Given : Margin of error : E= 3% =0.03
Critical value for 95% confidence interval = z*= 1.96
A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.
i.e. p=0.21
Then by formula 2., the required sample size will be :


[Round to the next integer.]
Hence, the required sample size of junior executives should be studied = 709