All categories

3 years ago

Describe the pattern, write the next term, and write a rule for the nth term of the sequence,

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

7 0

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

You might be interested in

Mr. Diaz wants to cut a sandwich into fourths to share with his family Drawn Lines in the Square to show One Way Mr Gs can cut t

quester [9]

You can cut the sand which down the middle one way then turn it and cut it down the middle again. Making a cross or X pattern

5 0

3 years ago

Estimate the quotient. Explain how u got your answer 77.5÷10.2

bazaltina [42]

Divide 77.5 by 10 = 7.75
Since we divide by 10.2 (and not 10), we **subtract** 2% of 7.75, which is about 0.155 to give 7.595. (error=-0.04%)

You can also simplify a little by approximating 2% of 7.75 as 0.15 to give 7.6 as your estimate. (error=+0.026%)

exact value = 7.598...

4 0

4 years ago

The average value of a function f over the interval [−1,2] is −4, and the average value of f over the interval [2,7] is 8. What

Anna71 [15]

The average value of a continuous function f(x) over an interval [a, b] is

$\displaystyle f_{\mathrm{ave}[a,b]} = \frac1{b-a}\int_a^b f(x)\,dx$

We're given that

$\displaystyle f_{\rm ave[-1,2]} = \frac13 \int_{-1}^2 f(x) \, dx = -4$

$\displaystyle f_{\rm ave[2,7]} = \frac15 \int_2^7 f(x) \, dx = 8$

and we want to determine

$\displaystyle f_{\rm ave[-1,7]} = \frac18 \int_{-1}^7 f(x) \, dx$

By the additive property of definite integration, we have

$\displaystyle \int_{-1}^7 f(x) \, dx = \int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx$

so it follows that

$\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(\int_{-1}^2 f(x)\,dx + \int_2^7 f(x)\,dx\right)$

$\displaystyle f_{\rm ave[-1,7]} = \frac18 \left(3\times(-4) + 5\times8\right)$

$\displaystyle f_{\rm ave[-1,7]} = \boxed{\frac72}$

7 0

3 years ago

How can you use the distributive property to rewrite 15p+10q as a product?

MrRa [10]

Answer:

Both of those terms are divisible by 5, so you could express it also as

5(3p + 2q)

8 0

3 years ago

How would you find the width of a golden rectangle if your givin the length?

Nesterboy [21]

A golden rectangle is a rectangle whose length and width follow the golden ratio (about 1:1.618).

Given the length, you would divide by 1.618 to find the width.

Edit: The exact value is $\frac{ 1+\sqrt{5} }{2}$ , but 1.618 should suffice.

5 0

4 years ago