Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
Refer to the attached file
For your understanding,I am sending this too so that u can understand the concept
I can't see where the one is bur if its on the top left it corresponds with 5 then
The admission fee at a fair is $2.00 for children and $4.00
for adults.
On Saturday 2,500 people entered the fair and $7,000.00 were
collected.
How many children and how many adults attended? Give your
answer, using x for children, y for adults.
Form of: x =, and y =
Let K = no. of children
Let A = no. of adults
2500 people mean
Kids + Adults
K + A = 2500
K = 2500 – A
2K + 4A = 7000
K + 2A = 3500
(2500 – A) + 2A = 3500
A = 3500 – 2500
(A = 1000, adults)
K = 2500 – A
K = 2500 -1000
(K = 1500, Kids)
CHECK:
1500*2 = $3000
1000*4 = $4000
<span>(Total = $7000, people.). </span>
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<span>Hope this helps:</span>
