Answer:
The formula is 10 - 3n
Step-by-step explanation:
For an nth term in an arithmetic sequence
U( n ) = a + ( n - 1)d
Where n is the number of terms
a is the first term
d is the common difference
From the sequence above
a = 7
d = 4 - 7 = - 3
The formula for an nth term is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
The final answer is
= 10 - 3n
Hope this helps you.
Answer:
937.5 packs of apples
Step-by-step explanation:
Note that:
100p = £1
80p = x
Cross Multiply
100x = 80p × £1
x = 80/100
x = £0.8
Jay sells 10 packs of apples for 80p.
Hence:
£0.8 = 10 packs of apples
£75 = x
Cross Multiply
£0.8 × x = £75 × 10 Packs
x = £75 × 10 Packs/£0.8
x = 937.5
Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples
Answer:
Step-by-step explanation:
We are given that linear differential equation
Auxillary equation
C.F=
P.I=
P.I=
P.I=
and 
where D square is replace by - a square
P.I=
Hence, the general solution
G.S=C.F+P.I
Answer:
-914
Step-by-step explanation:
f(n)=-5f(n-1)-n
f(2)= -5f(1) -2 = -5(7) - 2 = -37
f(3) = -5f(2) - 3 = -5(-37) - 3 = 182
f(4) = -5f(3) - 4 = -5(182) - 4 = -914
