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densk [106]
3 years ago
6

The first term of a geometric sequence is 400 and the common ratio is 0.5. What

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

25

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 400 and r = 0.5 , thus

a_{5} = 400 × (0.5)^{4} = 400 × 0.0625 = 25

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This is 15 points for whoever answers.
zalisa [80]

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

m=\frac{y_2-y_1}{x_2-x_1}

(3, 1) and (6,2)

m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}

y=mx+b

y=\frac{1}{3}x+b

Find b using (6,2):

y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b

y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x

y=\frac{1}{3}x

What will be the value of Y when X = 120?

Substitute 120 for x into y=\frac{1}{3}x

y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

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