The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵ 
∴ 
∵
= 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ 
∴ 
∵
= 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ 
∴ 
∴ 
∴ 
The 24th term is 152
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Answer:
49
Step-by-step explanation:
2+1.5=3.5
49/3.5=14
Answer:
y=2x-1
Step-by-step explanation:
(1)
given
=
( cross- multiply )
10j = 54 ( divide both sides by 10 )
j =
=
← in simplest form
(9)
let h be the hours worked daily , then
3h = 20
=
( divide both sides by 3 )
h =
÷ 3
=
×
=
= 6 
She worked 6
hours each day
Let Ricky = x; so equation: x + (x+283) = 2675 ; Re-arrange so x = Ricky = 1196 hits with Pedro 1196 + 283 = 1479.