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zubka84 [21]
3 years ago
9

What is 5/18 + (-1/6)

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
5 0

Answer:

1/9

Step-by-step explanation:

find a common denominator

5/18 + (- 3/18)

take 3 from 5

2/18

simplify

1/9

Jobisdone [24]3 years ago
3 0

Answer:

2/18, 1/9

Step-by-step explanation:

5/18 + (-1/6)

-1/6=-3/18

5/18+(-3/18)=

2/18

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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}

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Step-by-step explanation:

hope that helps

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the correct answer is shown below

Step-by-step explanation:

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