Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
=
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
Answer: THIRD OPTION.
Step-by-step explanation:
The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

Based on this and having the expression
, we can apply the Associative property as following:

Therefore, the expression that illustrates the Associative property of addition is the one shown in the Third option.
Answer:
3 hours 8 seconds
Step-by-step explanation:
Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.
It is given that,
Juan had finished the race with a time of 3¾ hours.
He takes ⅔ of hours more than Andrés.
We need to find how long did Andrés finish the marathon.
Time taken by Juan =
hours
Time taken by Tijuanito is
hours more than Andrés.
So, Andrés finish the marathon
before.
sub 2 for any "x"
3(2)^2-2(2)+1
6^2-4+1 i dont know if you need to simplify even more but if you do
36-4+1 32+1 31
i hope this helps you!