9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...
Answer:
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7
Step-by-step explanation:
The given numbers are;
0, 1/3, 1/2, 3/5, and 2/3
The number sequence is formed adding to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;
For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;
The
For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;
For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;
For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;
For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;
The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.
