3 years ago

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

Mathematics

1 answer:

Slav-nsk [51]3 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

I think I need to find x

ozzi

Answer:

-6

Step-by-step explanation:

the x value is just plugging that number in for x so

-3x-8=10 (add 8 to both sides) so

-3x=18 (divide by -3 on both sides) so

x=-6

7 0

2 years ago

Read 2 more answers

Claire has 0.5 juice left in her box and Ethan has 0.45 juice left in his juice box. Who has the most juice left

Gala2k [10]

Claire .5 is greater than .45

6 0

3 years ago

Read 2 more answers

Aaron borrows $150 from his friend Austin. He has to pay the money back in 4 monthly installments. Each month he wants to pay ha

Y_Kistochka [10]

Austin should pay $75 the first month, and 37.50 for the remaining of the 2 months

5 0

2 years ago

If you raise 4 to the 214th power, what is the units digit of the result

Len [333]

$\begin{array}{lrlll}
4^1&\boxed{4}\\
4^2&1\boxed{6}\\
4^3&6\boxed{4}\\
4^4&25\boxed{6}\\
4^5&102\boxed{4}\\
4^6&409\boxed{6}
\end{array}\impliedby \textit{see the pattern for 4?}$

notice, it goes 4,6 then 4, 6 again, and so on and so on
based on whatever exponent it may have

now, you're being asked, what 214 will give? 4 or 6?

4 0

3 years ago

Find the equation of the line with slope = 6 and passing through (-9,-58). Write your equation in the form y = mx+ b

stira [4]

Answer:

<u>y=6x-4</u>

Step-by-step explanation:

the slope is 6
our point is (-9,-58)

-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this

-58=6(-9)+b

-58=-54+b

-58=54+b - we changed -54 to a positive 54

54-58=-4

y=6x-4

4 0

2 years ago