Answer:
we need to prove : for every integer n>1, the number
is a multiple of 5.
1) check divisibility for n=1,
(divisible)
2) Assume that
is divisible by 5, 
3) Induction,



Now, 



Take out the common factor,
(divisible by 5)
add both the sides by f(k)

We have proved that difference between
and
is divisible by 5.
so, our assumption in step 2 is correct.
Since
is divisible by 5, then
must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number
is a multiple of 5.
Answer:
81 pi cm^2
or approximately 254.34 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (9)^2
A = 81 pi
Using 3.14 as an approximation for pi
A = 81 (3.14)
A =254.34 cm^2
Answer:
D = 106
e = 54
f = 20
Step-by-step explanation:
its ur answer
<span>1.
-x = 2 - 3x + 6
-x + 3x = 8
2x = 8
x = 8/2
x = 4
2.
</span><span>Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x </span>← wrong
The correct step: <span>Step 2: 6x − 8 = 12 + 2x
3.
</span>The next step is <span>2m = 8</span>
Answer:
20 Outcomes.
Step-by-step explanation:
A-1 A-2 A-3 A-4
B-1 B-2 B-3 B-4
C-1 C-2 C-3 C-4
D-1 D-2 D-3 D-4
E-1 E-2 E-3 E-4
Hope this helps!