From the given recurrence, it follows that
and so on down to the first term,
(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)
Denote the remaining sum by <em>S</em> ; then
Multiply both sides by 2 :
Subtract 2<em>S</em> from <em>S</em> to get
So, we end up with
Answer:
40.18
Step-by-step explanation:
According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.
The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.
Mean = Σx/n
For the computation error:
Mean = 40
Let x represent the sun of other 98 values except 30 and 27
n = 100
40 = x + 30 + 27/100
40 = 57 + x/100
Cross multiply
4000 = 57 + x
x = 4000 - 57
x = 3943.
Sum of other 98 values = 3943.
Now, let's find the correct mean with correct values of 3 and 72;
Mean = Σx/n
Mean = 3943 + 3 + 72/100
Mean = 4018/100
Mean = 40.18
A = 9 (Sorry I can't do the other ones, I haven't learned those ones yet) Hope this helps!! :P
Answer:
the amount after 3 weeks is $37.33
Step-by-step explanation:
Given that
His balance is -$48.82 i.e. overdraft
Now in order to get the positive balance, he plans to deposit the money of $28.55 per week
We need to find out the amount after 3 weeks
So,
= -$48.32 + $28.55 + $28.55 + $28.55
= $37.33
hence, the amount after 3 weeks is $37.33
Answer: 1/20
Step-by-step explanation:
you need to find a common denominator (least common multiple of both denominators)
4/5 - 3/4
16/20 - 15/20
1/20
