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The smallest value is 5.
After n years of 7 percent growth, the value is (1.07)n times the starting value. The answer to the question is the smallest value of n such that (1.07)n >=2 or nlog(1.07)>= log(2) or n >= log(2)/log(1.07) = 10.2 So the GDP will double during the 11th year.
In Statistics, ra nge does n't mea n divisio n but it is the differe nce of the largest value a nd the smallest value i n the list of numbers give n. Example: 11, 12, 13, 14, 15, 20, 23, 25 Ra nge = 25 - 11 = 14
The answer is totally dependent on the value of n and, if you do not provide that value, there can be no answer.
Let's us say that the pth multiple of 14 is 63n i.e. 14p = 63n.14p = 63n and n = 14p/63....(1)From the relation 1 it is clear that we have to look for the multiple of 14 which is divisible by 63.Method 1:Let's us write the multiples of 14 greater than 63: 70, 84, 98, 112, 126, 140 etc.Is any of these multiples a multiple of 63?126 is the required multiple and it is the second multiple(n=2) of 63.So the smallest value of n is 2.Method 2:The smallest value of n can be found by calculating the LCM of 63 and 14.LCM of x and y gives us the smallest number divisible by x and y.LCM of 63 and 14 is 126. And putting 63n equal to 126 gives:63n = 126n =2