Answer:
yes
Step-by-step explanation:
He was awake for 65% and then fell asleep for the remaining 35%.
The first term is 7 because they both can be divided by 7.
Answer:
<u>131 seats</u> are in the 30th row.
Step-by-step explanation:
The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.
Now, to find the number of seats in the 30th row.
So, we get the common difference(
) from the arithmetic sequence first:
Thus, 
So, the first tem 
= 15.
The number of last row (
) = 30.
Now, to get the number of seat in the 30th row we put formula:
Therefore, 131 seats are in the 30th row.
Answer:
1) 4, 7, 12 and 19
Tenth term = 103
2) 2, 8, 18, 32
Tenth term =200
Step-by-step explanation:
Given the nth term of the sequence
1) f(n)= n²+3
When n = 1
f(1) = 1²+3
f(1) = 4
When n = 2
f(2) = 2²+3
f(2) =4+3
f(2) = 7
When n = 3
f(3) = 3²+3
f(3) = 9+3
f(3)=12
When n =4
f(4) = 4²+3
f(4) = 16+3
f(4) = 19
The first four terms are 4, 7, 12 and 19
f(10)= 10²+3
f(10) = 103
Tenth term is 103
2) f(n) = 2n²
When n = 1
f(1) = 2(1)²
f(1) = 2
When n = 2
f(2) = 2(2)²
f(2) = 2(4)
f(2) = 8
When n= 3
f(3)= 2(3)²
f(3) = 2(9)
f(3) = 18
When n= 4
f(4) = 2(4)²
f(4) = 2(16)
f(4) =32
The first four terms are 2, 8, 18, 32
f(10) = 2(10)²
f(10) =2(100)
f(20) = 200
The tenth term is 200
