All categories

3 years ago

What is the 4th term of the geometric sequence when the first term is 6 and the common ratio is 7?

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

2,058

Step-by-step explanation:

first term : a_1 = 6

common ratio r = 7

a_n = (a_1) * r ^(n-1)

a_4 = 6 * 7^(4-1)

a_4 = 6 *7^3

a_4 = 6 * 343 = 2,058

You might be interested in

How do you the equation of the line that passes through x-intercept (–8, 0) and undefined slope?

kifflom [539]

If the slope is undefined, then your line is a vertical line since vertical lines can have no slope (they don't have any lateral movement). Because it must pass through (- 8, 0), x must = - 8.

Your equation is x = - 8

8 0

3 years ago

Which equation is correctly solved for y

Radda [10]

Answer:

Step-by-step explanation:

5 0

2 years ago

4x-3y=2<br> 3x=5y=16<br> solve using substitution method

vodomira [7]

$\left\{\begin{array}{ccc}4x-3y=2&|\text{add 3y to both sides}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}4x=3y+2&|\text{divide both sides by 4}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}x=0.75y+0.5&(*)\\3x+5y=16\end{array}\right\\\\\text{substitute}\ (*)\ \text{to the second equation}\\\\3(0.75y+0.5)+5y=16\qquad\text{use distributive property}\\\\(3)(0.75x)+(3)(0.5)+5y=16\\\\2.25y+1.5+5y=16\qquad\text{subtract 1.5 from both sides}\\\\7.25y=14.5\qquad\text{divide both sides by 7.25}$

$\boxed{y=2}\\\\\text{substitute the value of y to}\ (*):\\\\x=0.75(2)+0.5\\\\x=1.5+0.5\\\\\boxed{x=2}\\\\Answer:\ x=2\ and\ y=2\to(2,\ 2)$

7 0

2 years ago

W= A over 4 what does A equal?

timurjin [86]

Answer:

Hi there!

If W= A/4, then A= 4W

Step-by-step explanation:

because if you times 4 on both sides of the equation : w*4 = (A/4) *4

you get A= 4W

4 0

3 years ago

If 32^2c=8^c what is the value of c? 1 2 3 5

Elina [12.6K]

Answer:

as written, c ≈ 0.000979 or c = 4
alternate interpretation: c = 0

Step-by-step explanation:

<em>As written</em>, you have an equation that cannot be solved algebraically.

(32^2)c = 8^c

1024c = 8^c

1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

32^(2c) = 8^c

(2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

2^(10c) = 2^(3c) . . . . . . . simplify

10c = 3c . . . . . . . . . . . . . .log base 2

7c = 0 . . . . . . . . . . . . . . . subtract 3c

c = 0 . . . . . . . . . . . . . . . . divide by 7

7 0

3 years ago