3 years ago

What is 2/5 + 1/9 I need help

1 answer:

5 0

Find the LCD of both fractions and that is 45.

Make the denominators the same as the LCD

Simplify, now denominators are the same

join the denominators

simplify

Answer: 23/45

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During the day,Sam spent $4.85 on lunch.he also bought 2 books for $7.95 each. At the end of the day we had $8.20 left how much

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3 years ago

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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3 years ago

Write an expression that shows how to multiply 7×256

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Hello! what I like to do is multiply by 10s and subtract the difference, so one thing you could do is 10x256-(3x256)! your final answer will be 1792, hope this helped! ;)

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