Find the first five terms of the sequence below a1=3 An=an-1+6
1 answer:
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2 times what = -4?
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r
f(1) in this case is 2.
f(n) = 2 • r
r is rate of change, which is -2.
f(n) = 2 • -2
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2
f(12) = 2 • -2
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r
f(1) in this case is 2.
f(n) = 2 • r
r is rate of change, which is -2.
f(n) = 2 • -2
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2
f(12) = 2 • -2
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be <em>x.</em>
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Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).
We are given that their sum is 700. Therefore:
Solve for <em>x</em>. Combine like terms:
Subtract 10 from both sides:
Divide both sides by five. Therefore:
The first number is 138.