Answer:
390
Step-by-step explanation:
The formula of sum of arithmetic sequence is
The number of this series are 2, 4, 6, 8, 10, 12, . . . . , 60.
The first term ( a ) = 2
The 30th even number is 60
The Tn is the term of the sequence
So the equation is
30/2 x ( 2 + )
= 60
30/2 x ( 2 + 60 )
30/2 x (62)
1860/2
390
Answer:
The required sequence is . The average rate of change from n = 1 to n = 3 is -7.5.
Step-by-step explanation:
From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.
Here,
The common ratio of GP is 1/2.
The first term of the sequence is 20.
The formula for sequence is
Where a is first term and r is common difference.
The required sequence is
The formula for rate of change is
The average rate of change from n = 1 to n = 3 is
Therefore the required sequence is . The average rate of change from n = 1 to n = 3 is -7.5.