The recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8
<h3>How to determine the recursive sequence that would produce the sequence?</h3>
The sequence is given as:
8,-35,137,…
From the above sequence, we can see that:
The next term is the product of the current term and -4 added to -3
i.e.
Next term = -3 + Current term * -4
So, we have:
T(n + 1) = -3 + T(n) * -4
Rewrite as:
T(n + 1) = -3 - 4T(n)
Hence, the recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8
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Answer:
512(cm)3
Step-by-step explanation:
1) 4x+6= 10; x=1
2) c + 5= 15; c=10
3) 2 - a= 18; a= -16
4) -8x=16; x= -2
5) a+6= 12; a=6
6) 3+b= 18; b=6
7) -5 - x= 19; x= -24
8) 7+4b= 34; b= 6.75
Let's solve your equation step-by-step.<span><span><span><span>6n</span>+n</span>+14</span>=0</span>
Step 1: Simplify both sides of the equation.<span><span><span><span>6n</span>+n</span>+14</span>=0</span><span>Simplify: (Show steps)</span><span><span><span>7n</span>+14</span>=0</span>
Step 2: Subtract 14 from both sides.<span><span><span><span>7n</span>+14</span>−14</span>=<span>0−14</span></span><span><span>7n</span>=<span>−14</span></span>
Step 3: Divide both sides by 7.<span><span><span>7n</span>7</span>=<span><span>−14</span>7</span></span><span>n=<span>−2</span></span>
Answer:<span>n=<span>−<span>2</span></span></span>
Step-by-step explanation:
Distance between points (-7, 2) and (-2, 14) is 13
