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A tree in each year grows 4cm less than it grew in previous year. If it grew 1 metre in the first year, in how many years will it have ceased growing and what will be its height then,​
  • a)
    1500
  • b)
    26
  • c)
    2600
  • d)
    1300
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A tree in each year grows 4cm less than it grew in previous year. If i...
a = 100 cm 
d = - 4 cm
an = a + ( n - 1 )d = 100 + ( n - 1 ) -4 = 100 - 4 n + 4 = 104 - 4 n
But an < 0 
So , 104 - 4 n < 0
- 4 n < -104
n = 26
Thus, in 26 years the tree will have ceased growing.
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A tree in each year grows 4cm less than it grew in previous year. If i...
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A tree in each year grows 4cm less than it grew in previous year. If i...
One metre = 100 cm, a = 100 cm
 
since every year it grows 4 cm less than it did the preceding year, d = -4
 
Thus, it is an AP, with initial term a = 100 and d = -4
 
The tree will stop its growth, when nth term of the series is 0.
 
Nth term = a + (n - 1)d
 
0 = 100 + (n - 1)(-4)
 
0 = 100 - 4n + 4
 
0 = 104 -4n
 
4n = 104
 
n = 104/4
 
n = 26 years
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A tree in each year grows 4cm less than it grew in previous year. If it grew 1 metre in the first year, in how many years will it have ceased growing and what will be its height then,​a)1500b)26c)2600d)1300Correct answer is option 'A'. Can you explain this answer?
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