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3 years ago

7

Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, .

2 answers:

devlian [24]3 years ago

8 0

Answer:

1) a30=96

2) 30(-20+96)/2

3) 1140

ollegr [7]3 years ago

7 0

We are given with the sequence -20, -16, -12, -8. From this sequence, we can see that the arithmetic difference is +4, from -(-20 + 16). hence following the arithmetic formula of an = a1 + d *(n-1). Substituting, an = -20 + 4 *(n-1) where n is an integer

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<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%5C%5C%7D" id="TexFormula1" title="\sqrt[3]{216\\}" alt="\sqrt[3]{216\\}"

aivan3 [116]

Answer:

6

Step-by-step explanation:

$\sqrt[3]{216}$ = $\sqrt[3]{8}$ · $\sqrt[3]{27}$ = $\sqrt[3]{2}$ ³ · $\sqrt[3]{3}$ ³ = 2 x 3 = 6

7 0

2 years ago

6,10,14 ... Find the 30th term.

andriy [413]

Answer:

<h2> a₃₀ = 120</h2>

Step-by-step explanation:

$a_n=a_1+d(n-1)\\\\\\10-6=4 \ \ and\ \ 14-10=4\quad\implies\qquad d=4\\\\a_1=6\\\\\\a_{30}=6+4(30-1)=122$

7 0

2 years ago

Which of the number(s) below are potential roots

Gnom [1K]

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

8 0

3 years ago

Can this be simplified any further?<br>15x^2+-27x

maria [59]

Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).

3 0

3 years ago

Jackson is packing for a trip with his family. He is taking the items shown in the table.

Serhud [2]

Answer:

25%

Step-by-step explanation:

there is 8 items right 8 is 100% of all items and you are trying to find out the % of wering the jeans and the red shirt.

so 8 is 100% using that 1 of 100% is 12.5%

12.5% times 2 is 25 so 25% you might wear the jeans and the red shirt

hop this helps.

8 0

3 years ago