Step-by-step explanation:
On Monday maggie ran n miles.
On Tuesday, she she ran 90% of the number of miles that she ran on Monday i.e .
On Wednesday, she ran 50% of the number of miles that she ran on Tuesday i.e.
First expression : n+0.9n = 1.9 n
Second expression : n + 0.9 n + 0.45 n = 2.35 n
Hence, this is the required solution.
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