(2×1)+(4×0.1)+(7×0.001)=
1 answer:
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Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
Answer:
The total of 4 cups lasts 8 days to Mr. Simpson.
Step-by-step explanation:
The 1/2 cups of food lasts 1 day
⇒ 1 cup of food lasts = = 2 days.
Now, Mr. Simpson has 4 cups.
So, 4 cups last him = 4 x 2 days = 8 days
Hence, a total of 4 cups lasts 8 days to Mr. Simpson.