Find an equation for the nth term of the sequence. -1, -4, -16, -64, ...

Mathematics

1 answer:

Slav-nsk [51]2 years ago

3 0

Answer:

An =4^(n-1)

Step-by-step explanation:

hello :

the sequence is geometric because : (-64)/(-16) = (-16)/(-4)=-4/-1= 4=r

the nth term is : An =A1 × r^(n-1)

a common ratio is : r and A1 the first term

in this exercice : r =4 A1 = 1

An =A1 × r^(n-1)

An =1 × 4^(n-1)=4^(n-1)

You might be interested in

Combine Like Terms: 7X + 3M - 2(2X + 8) + 24 + 8M - X so hard

Elza [17]

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

7 0

1 year ago

Read 2 more answers

Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negati

Nat2105 [25]

The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)

<h3>What is simplification?</h3>

The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.

Now we have the original expression as;

(xy^2/x^-3y^3)

The only possible step in the expansion is to open up the bracket by the laws of indices and we get;

x^-4y^-8/x^12y^-12 (Option B)

Learn more about algebraic expression:brainly.com/question/953809

#SPJ1

6 0

1 year ago

Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,0

olchik [2.2K]

Answer:

The ending cash balance is $12,800

Step-by-step explanation:

This is an addition and subtraction problem. We begin with the initial cash balance of $6,800. Next we are "provided" cash from various activities of $37,000. Based on the word used we can tell that this means we have to add this to our initial balance like so,

$6,800 + 37,000 = 43,800$

Now our balance is $43,000. Next we are told that Net Cash "used" in investing activities is $13,600 and "used" in financing activities is $17,400. Based on this word we can tell that this money is being subtracted from our balance.

$$43,000 - 13,600 - 17,400 = 12,800$