Find an equation for the nth term of the arithmetic sequence.

2 answers:

8 0

1) To find out common equation for this sequence, it must be used n=1;2;3;4... etc.
2) to count a₁ use n=1. It is correct only for row $a_n=-3+-2(n-1)$ result is (-3)
3) if to verify others value for n:

Liono4ka [1.6K]3 years ago

7 0

An = -3 + -2 (n) is the answer. To verify this, start replacing the"n" with numbers like so: 0, 1, 2, 3, 4, 5....etc

You might be interested in

A tank contains 10 liters of pure water. Saline solution with a variable concentration 5 grams of salt per liter is pumped into

algol [13]

Answer:

dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0

Step-by-step explanation:

The mass flow rate dQ(t)/dt = mass flowing in - mass flowing out

Since 5 g/L of salt is pumped in at a rate of 4 L/min, the mass flow in is thus 5 g/L × 4 L/min = 20 g/min.

Let Q(t) be the mass present at any time, t. The concentration at any time ,t is thus Q(t)/volume = Q(t)/10. Since water drains at a rate of 4 L/min, the mass flow out is thus, Q(t)/10 g/L × 4 L/min = 2Q(t)/5 g/min.

So, dQ(t)/dt = mass flowing in - mass flowing out

dQ(t)/dt = 20 g/min - 2Q(t)/5 g/min

Since the salt just begins to be pumped in, the initial mass of salt in the tank is zero. So Q(0) = 0

So, the initial value problem is thus

dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0

3 0

2 years ago

Find the sum of 1 + 3/2 + 9/4 + …, if it exists.

zmey [24]

Answer:

Option (4)

Step-by-step explanation: