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3 years ago

What are the next three terms in the sequence 1, 7, 13, 19, ... ?

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

Answer:

The next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

Step-by-step explanation:

We need to find the next three terms in the sequence 1, 7, 13, 19, ...

First we need to find the difference between the terms

If we observe:

First term ; 1

Second term is : 1+6 = 7

Third term is: 7+6 = 13

Fourth term is: 13+6 = 19

So adding 6 to previous term we can find the next term as observed by the pattern

Fifth term will be: 19+6 = 25

Sixth term will be: 25+6 = 31

Seventh term will be: 31+6 = 37

So, the next three terms in the sequence are: 25,31, 37

The required sequence is: 1, 7, 13, 19,25,31, 37

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8kg295g=__g conver this <br>full explaination <br>

Slav-nsk [51]

Answer:

$\huge\boxed{\sf 8295 \ g}$

Step-by-step explanation:

= 8 kg 295 g

So, 8 kg = 8 * 1000 g

= (8 * 1000) g + 295 g

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3 years ago

I need to perform the operation

d1i1m1o1n [39]

(-5 $x^{2}$ -4x-1)+(-4 $x^{2}$ -4x)

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2 years ago

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4 years ago

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a swimming pool is 130 feet long and the length is 3 times the width plus 10 feet. Let x be the width of the pool. how wide is t

kondor19780726 [428]

Answer:Perimeter of a rectangle is 2*the length plus 2*the width

P = 2L + 2W and P = 130, so

L + W = 65

Three times the length is equal to 10 times the width, giving

3L = 10W

Substituting into the above for L = 65 – W,

3(65 – W) = 10W

195 – 3W = 10W

195 = 13W

W = 195/13 = 15

W = 15 yards,

And L = (10/3)W = (10/3)*15 = 50

L = 50 yards

Step-by-step explanation:

5 0

3 years ago

2. Factor f(x) = x4 + x3 – 8x2 + 6x + 36 completely.

k0ka [10]

Take the leading coefficient and the last coefficient, and list all their factors. In this case, the leading coefficient is 1 because it is the number in front of the highest order term. 36 is the last coefficient.

$a_n$ = 1: 1
$a_0$ = 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Next we will find all the possible rational roots. To do so, divide each of the $a_0$ factors by each of the $a_n$ factors. For each result there is a positive and negative root. In this case 1 is the only $a_n$ factor. Since anything divided by 1 is itself, the possible rational roots are the same as the factors of 36 (except now we have positive and negative numbers).

So the possible roots are -1, 1, -2, 2, -3, 3, -4, 4, -6, 6.... etc.

Now use synthetic division to test each of the possible roots. If the answer does not have a remainder, then it is a root. After one possible root works, use the result of the division to continue finding other roots. Let me know if you need help with this step and I will upload a picture. Otherwise, division is pretty straight forward.

After dividing the polynomial by each possible rational root, we find -2 and -3 as roots. We can express these roots as the factors (x+2) and (x+3). So after wee factor them out, we get:

(x+2)(x+3)(x^2 - 4x + 6)

Hope this helps! Rational Root Theorem is a lot of work, but it is easy once you understand it!

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4 years ago