Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
= 12 and
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
Answer:
33.
Step-by-step explanation:
x^2 - 7x + 4.
The discriminant of the above
= b^2 - 4ac
= (-7)^2 - 4*1*4
= 49 - 16
= 33.
In simplify the expression =
1.56 • 10^52 + 3.5 • 10^48
8 = 2^3
27 = 3^3
(2^3)*(3^3)=6^3
Cube root of 6^3 = 6
The answer is A because both numbers can be divided by 6 to get 5 : 9