Find the value of x in each figure
1 answer:
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Answer:
The last term on the paper after 50 students =
Step-by-step explanation:
The general term of the equation:
Here, the first term = 1
Second term = 2(1) + 1 = 3 = 4 - 1 =
Third Term = 2(a2) + 1 = 2(3) + 1 = 7 = 8 -1 =
Fourth term = 2( a3) + 1 = 2(7) + 1 = 15 = 16 - 1 =
Continuing this way, we get
Last term :
So, the 50th term of this sequence is
Hence, the last term on the paper after 50th student changes it =
Given:
The exponential equations in the options.
To find:
The equation which represents exponential decay.
Solution:
The general exponential equation is
where, a is initial value and b is growth rate.
If b<1, then it is an equation of exponential decay.
If b>1, then it is an equation of exponential growth.
In option A, b=31>1, i.e., exponential growth.
In option B, b=3.1>1, i.e., exponential growth.
In option C, b=0.13<1, i.e., exponential decay.
In option D, b=1.03>1, i.e., exponential growth.
Only represents exponential decay.
Therefore, the correct option is C.