If the first and the last terms of an arithmetic series are 10 and 62, show that the sum of the series varies directly as the number of terms.

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.

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

96 39 cause 135 -96=39 im smart (i used a calculater)