find the first 4 terms and the 24 term of the given sequence with a general term?
An=n/2(n+1)
To find the first 4 terms of the sequence with the general term An = n/2(n+1), we can substitute different values of n into the formula.
Let's calculate the first 4 terms:
For n = 1: A1 = 1/2(1+1) = 1/2(2) = 1
So, the first term of the sequence is 1.
For n = 2: A2 = 2/2(2+1) = 2/2(3) = 1/3
So, the second term of the sequence is 1/3.
For n = 3: A3 = 3/2(3+1) = 3/2(4) = 3/8
So, the third term of the sequence is 3/8.
For n = 4: A4 = 4/2(4+1) = 4/2(5) = 4/10 = 2/5
So, the fourth term of the sequence is 2/5.
Now, let's find the 24th term of the sequence. We can directly substitute n = 24 into the general term formula:
A24 = 24/2(24+1) = 24/2(25) = 24/50 = 12/25
Therefore, the 24th term of the sequence is 12/25.