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klio [65]
3 years ago
14

Find the first term, a1, of an arithmetic sequence if a15 = 136 and a19 = 168.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0
Since a_n is an arithmetic sequence, there is some constant d by which consecutive terms differ. This means

a_{16}=a_{15}+d
a_{17}=a_{16}+d=a_{15}+2d
a_{18}=a_{17}+d=a_{15}+3d
a_{19}=a_{18}+d=a_{15}+4d

168=136+4d\implies d=8

By a similar token, we can express a_{15} in terms of a_1:

a_2=a_1+d
a_3=a_2+d=a_1+2d
\cdots
a_{15}=a_{14}+d=a_1+14d

136=a_1+14\cdot8\implies a_1=24
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3 years ago
The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next tw
Igoryamba

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S

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Step-by-step explanation:

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2 years ago
Solve the following inequality:<br><br> 176 + 5x ≤ 200
Flauer [41]

Answer:

Step-by-step explanation:

176+5x≤ 200

-176        -176

5x≤ 24

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5        5

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8 0
3 years ago
Write the equation of the line that is per to x = -3 and passes through the point (4,-7)
Anon25 [30]

Answer:

y=-1/3x-17/3

Step-by-step explanation:

I assume you mean <em>perpendicular</em><em> </em>to x=-3.

In that case, we would flip and take the negative. A perpendicular slope would be x=-1/3

Now we plug the point (4,-7) into the equation

y=mx+b

y=-1/3x+b

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-7=-4/3+b

b= -17/3

The whole equation would be:

y=-1/3x-17/3

<em>I hope this helps! :)</em>

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2 years ago
Find the minimum value of the following equation:
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Answer:

×=11

Step-by-step explanation:

2×-4×+27-5=0

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2 years ago
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