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antiseptic1488 [7]
3 years ago
5

Translate the sentence into an inequality. The sum of 3 and c is less than -29.

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0

Answer:

3 + c < -29

Step-by-step explanation:

3 + c < -29 from "The sum of 3 and c is less than -29."

3 + c < -29 from "The sum of 3 and c is less than -29."

3 + c < -29 from "The sum of 3 and c is less than -29."

Solnce55 [7]3 years ago
6 0

Answer:

3+c < -29 or c+3 < -29 because of communitive property

Step-by-step explanation:

First, the sum means addition, you could write 3+c or c+3 because addition is communitive property.

Then the sum is less than -29 so we need to use the less than symbol which is this symbol: <  

Now write the inequality! 3+c < -29

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What is the explicit rule for this geometric sequence? a1=-15;an=1/5•an-1
Ad libitum [116K]

Answer:

Option A is correct.

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Step-by-step explanation:

Given: a_1 = -15 ; a_n = \frac{1}{5} \cdot a_{n-1}

for n = 2

a_2 = \frac{1}{5} \cdot a_{2-1} = \frac{1}{5}\cdot a_1 = \frac{1}{5} \cdot (-15)

for n =3

a_3 = \frac{1}{5} \cdot a_{3-1} = \frac{1}{5} \cdota_2= (\frac{1}{5})^2\cdot (-15)

Simlarly , for n =4

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and so on...

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we have;   r = \frac{a_2}{a_1} = \frac{1}{5}

Now; by recursive formula for geometric series:

a_n = a_1 r^{n-1}

where a_1 is the first term and r is the common ratio:

Substitute the value of a_1 = -15  and  r = \frac{1}{5}

we have;

a_n =-15 (\frac{1}{5})^{n-1}

therefore, the explicit rule for the geometric sequence is; a_n =-15 (\frac{1}{5})^{n-1}

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