Answer:
1. 15 - 5n where n>=1
2. n² where n>=1
Step-by-step explanation:
1. {10, 5, 0, -5, -10} is an Arithmetic Progression
nth term is a + (n - 1)d
where a = first term, n= nth term, d= common difference.
a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))
Therefore, nth(General) term of the sequence:
= 10 + (n - 1)-5
= 10 + (-5n) + 5
= 10 + 5 - 5n
= 15 - 5n
Test:
if n = 1; 15 - 5(1) = 10
if n = 2; 15 - 5(2) = 5
if n = 3; 15 - 5(3) = 0 and so on.
2. {1, 4, 9, 16, 25}
The general term of the sequence is n²
Test:
if n = 1; 1² = 1
if n = 2; 2² = 4
if n = 3; 3² = 9 and so on.
I'm assuming that you meant 4x+1=3x?
Subtracting 4x, we get 1=-x. Multiplying by -1, we get x=-1 as the solution.
Answer:
1 tens 3 ones
Step-by-step explanation:
All you do is count the numbers in the place value chart.
Since 31-18=13, all you do is count 10+1+1+1=13.
Integrating gives
To compute the integral, substitute 
, so that 
. Then
Since 
for all 
, we can drop the absolute value, so we end up with
Given that 
, we have
so that
Tyra used 6 kilograms total to fill up all bird feeders.
