Given:
and 
where 
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
Where, d is the common difference.
We have,
Here, d=9.
The first term of the AP is .
The explicit formula for an AP is:
Substituting and 
, we get
Therefore, the required explicit formula for the given sequence is .
Answer:
Solution (-2, 7)
Step-by-step explanation:
2x + 3y = 17 (1)
5x + 6y = 32 (2)
Using elimination method
Multiply (-2) to the equation (1)
-4x - 6y = -34
Now you have 2 new equations
-4x - 6y = -34
5x + 6y = 32
----------------------------Add
x = -2
Substitute x = -2 into 2x + 3y = 17
2(-2) + 3y = 17
- 4 + 3y = 17
3y = 21
y = 7
Solution (-2, 7)
Answer is C
Hope that helps
Answer:
69
Step-by-step explanation:
If every 175th person gets free admission, that means
175th
175 * 2 = 350th
175 * 3 = 525th
person gets free admission and so on...
This basically means <em><u>"how many 175s are there is 6742 (for first day) and 5487 (for 2nd day)?"</u></em>
<em><u /></em>
We would need to divide and see the WHOLE number, not the fractional(decimal) amount remaining. So
<u>1st Day:</u>
6742/175 = 38.53
This means 38 people will get free admission
<u>2nd Day:</u>
5487/175 = 31.35
This means 31 people will get free admission
In the 2 days, total of 38 + 31 = 69 people will get free admission
