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3 years ago

Dose anybody know this need the answer asp

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

Your slope is -6/1 and the y intercept is 2. i hope that helps!

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

2 years ago

Solve ninety two hundredths plus four and six tenths plus eight

stiks02 [169]

13.52 should be the correct answer

8 0

3 years ago

Eileen brought 8 roses for $45.50.Which is the best way to estimate the cost of one rose?

masya89 [10]

Answer:

50 divided by 8 is the best estimation. gives you 6.25

7 0

2 years ago

Subtract 10x - 7 from 2x – 6.

hichkok12 [17]

(2x - 6) - (10x - 7) # Starting expression

-8x - 1 # Combine like terms

Final answer:

-8x - 1

Hope this helps!

8 0

2 years ago

Read 2 more answers

Need help asapdue today at 11 am

goblinko [34]

12 × 8 = 96 3 × 3 = 9 96 - 9 = 87

(unlucky jasmine she does not have enough paint )

8 0

3 years ago