If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to
2 answers:
Answer:
k = 3
Step-by-step explanation:
- Take common from all the terms in L.H.S.
- Divide both the sides by .
- Expand the terms in L.H.S.
Step-by-step explanation:
Maths
Bookmark
if 2
2008
−2
2007
−2
2006
+2
2005
=k ⋅2
2005
then the value of k is equal to
Answer
Correct option is
B
3
2
2008
−2
2007
−2
2006
+2
2005
=k⋅2
2005
⇒[2
2008
−2
2006
]−[2
2007
−2
2005
]=k⋅2
2005
⇒2
2006
(2
2
−1)−2
2005
(2
2
−1)=k⋅2
2005
⇒3(2
2006
−2
2005
)=k⋅2
2005
⇒3[2
2005
(2−1)]=k⋅2
2005
⇒3(2
2005
)=k⋅2
2005
On comparing, we get
k=3
Hence, Option B is correct.
You might be interested in
Answer:
M. x(n)
Step-by-step explanation:
Because it is one of the few not used
12÷5= 2.4 pounds
2.4 pounds =2 4/10 pounds
=2 2/5
3X-1/4=2
3X=2+1/4
3X=9/4
X=3/4
Answer:
110 is 10% greater than 100
100 is 9 1/11% less than 110
Step-by-step explanation:
10%
9 1/11%
Answer:
daddiest
Step-by-step explanation:
do 3.14 times 7