The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒ 
⇒ 145 = 5 (2a+9d)
⇒ 
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒ 
⇒ 590 = 10 (2a + 19d)
⇒ 
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d = 
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a = 
⇒ a = 1
Thus, sum of first four terms is
⇒ 
⇒ 
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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Answer:
Can you post 4.3? We need more information to answer this.
Step-by-step explanation:
Answer:
Maisha ran the race in .36 seconds faster than Patti.
8.4 - 8.04 = .36
Let c=cost of cherry and s=cost of strawberry cheesecakes.
12c+14s=214
6c+11s=151.
So 12c+22s=302 subtract 12c+14s=214:
8s=88, so s=$11 and 6c=151-11s=151-121=$30.
The cost of one cherry cheesecake is $30 and of one strawberry is $11.
The cost of the sum of both is $41.
Answer:
Step-by-step explanation: One number is four more than the other." is represented as 'x'
"One number is four more than the other." is represented as 'x+4'
"Their sum is fourteen." is represented as 'x+(x+4)=14'
"Find both numbers."
x+(x+4)=14
x+x+4=14 (add like terms)
2x+4=14 (isolate your 'x' variable on one side of the equality by subtracting 4 from both sides)
2x+4-4=14-4
2x=10 (isolate your 'x' variable by dividing by 2 from both sides)
2x/2=10/2
x=5 (this is the answer to one number)
x+4=5+4=9 (plug in 5 for 'x' and this is the answer to four more than another)
Your two numbers are 5 and 9.
