Answer:
= 5n - 2
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 a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
Brianna listen 60 songs on Saturday !
<u>Step-by-step explanation:</u>
Here we have , On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday. How many songs did Brianna listen to on Saturday .Let's find out:
Let Brianna listens x songs ! So , 45% of x songs is 27 songs , i.e. On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday as :
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Therefore , Brianna listen 60 songs on Saturday !
