Answer:
4x-11
Step-by-step explanation:
Answer:
SUre, 2, 3 5
Step-by-step explanation:
Answer:
The
sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given sequence
-10,-5,0,5,10,15,20,.....
The first term = -10
The difference of two terms in the given sequence is equal
d = -5-(-10) = -5 + 10 = 5
d = 0 -(-5) = 5
The given sequence is in arithmetic progression
<u><em>Step(ii):-</em></u>
The
sequence

aₙ = -10 +(n-1) 5
aₙ = -10 + 5n -5
aₙ = -15 +5n
<u><em>Step(iii):-</em></u>
The
sequence aₙ = -15 +5n
put n = 5
a₅ = -15 + 5(5) = -15 +25 = 10
<u><em>Final answer:-</em></u>
The
sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
<u><em></em></u>
Answer:
a₂ = - 28.5
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
here a₁ = - 45 and given a₃ = - 12 , then
a₁ + 2d = - 12 , that is
- 45 + 2d = - 12 ( add 45 to both sides )
2d = 33 ( divide both sides by 2 )
d = 16.5
Then
a₂ = a₁ + d = - 45 + 16.5 = - 28.5
Using ur calculator you should get 15 degrees ( Use the sin-1 key.).
Angle complementary to x is 90-15 = 75 degrees
and as sin x = cos(90-x) then cos 75 is also equal 0.2588