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3 years ago

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

6 0

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

$T_n=a_1(r)^{n-1}$

Here, $a_1=$ First term

$r=$ common ratio

$n=$ number of terms

If, $a_1=18$ and $a_2=9$

Common ratio of the sequence $r=\frac{a_2}{a_1}$

$r=\frac{9}{18}$

$r=\frac{1}{2}$

By substituting these values in the formula,

$T_n=18(\frac{1}{2} )^{n-1}$

Therefore, Option E is the answer.

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What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

$\rm y^2 + x^2 = 53 \\\\y -x = 5$

From equation 1

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Substitute the value of y in equation 1

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The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

$\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2$

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8 months ago

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3 years ago

4x + 6y - z=-18<br> 3x +2y - 4z = -24<br> - 5x + 3y + 2z = 15<br> find x y and z

Anna71 [15]

Answer:

x = -2, y = -1, z = 4

Step-by-step explanation:

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z = 18 + 4 x + 6 y

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z = 6 + (3x)/ 4 + y /2

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3 years ago

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9