Answer:
This shows that the sum of the series varies directly as the number of terms.
Step-by-step explanation:
The terms of the airthmetic series is given by .
Where is the first term .
n represented the number of terms in the airthmetic series .
d is the common difference .
As given
If the first and the last terms of an arithmetic series are 10 and 62 .
Putting in the above
62 - 10 = (n-1)d
52 = (n-1)d
The Sum of the nth terms of the airthmetic series is given by .
Putting the values in the above
(This is for the n terms )
Therefore this shows that the sum of the series varies directly as the number of terms.