Step 1: make sure the denominators are the same. step 2: add the numerators, put the answer over the denominator of course to make a fraction. step 3: simplify if needed. If you need me to explain more text me.

3 0

3 years ago

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Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....

Annette [7]

Answer:

$T_n = -48* (-\frac{1}{2})^{n}$

Step-by-step explanation:

Given

$24, -12, 6,...$

Required

Write a formula

The above sequence shows a geometric sequence because:

$r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}$ -- common ratio

The equation is determined using:

$T_n = ar^{n-1}$

Where

$a = 24$

Substitute values for a and r

$T_n = 24* (-\frac{1}{2})^{n-1}$

Apply law of indices:

$T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}$

$T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})$

$T_n = 24* (-\frac{1}{2})^{n} * 1*-2$

$T_n = 1*-2*24* (-\frac{1}{2})^{n}$

$T_n = -48* (-\frac{1}{2})^{n}$

<em>The above represents the explicit formula</em>

7 0

3 years ago

Subtract. 12 4/5 - 5 9/10

g100num [7]

Answer:

$6\frac{9}{10}$

Step-by-step explanation:

$12\frac{4}{5} - 5 \frac{9}{10}$

LCD: 10

$12\frac{8}{10} -5\frac{9}{10}$

answer: $6\frac{9}{10}$

4 0

3 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

Naddika [18.5K]

Answer:

x=16

Step-by-step explanation:

From the Free Response Row,

8(15-m)=x

For the Total Time(in minutes) column

3m+x=55
x=55-3m

Since x=55-3m and x=8(15-m)

Therefore:

55-3m =8(15-m)

55-3m=120-8m

Collect like terms

-3m+8m=120-55

5m=65

Divide both sides by 5

m=13

Therefore:

x=55-3m=55-3(13)=55-39

x=16

6 0

3 years ago

Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5​

Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5