(4) In the staircase shown here the height of the first step is 10 centimetres and
the height of each step after it is 17.5 centimetres. sups
How high from the ground would
be someone climbing up, after
each step?
Write these numbers as a
sequence
Answers
Concept
Addition
Given
The staircase has the height of the first step as
10 centimetres and the height of each step after it
is 17.5 centimetres.
To Find
How high from the ground would be
someone climbing up after each step?
Write it in a sequence.
Method
We will add 17.5 cm after each successive step as climber will be moving up by 17.5 cm after each step.
Solving
Height of first step is 10 cm.
It means if a climber move to step 1 he/she would have climbed up by 10 cm.
Height of second step is 17.5 cm.
So, after climbing second step, climber would have covered ( 10 + 17.5 )cm = 27.5 cm.
Similarly, after climbing third step, climber would have covered ( 27.5 + 17.5 )cm = 45 cm.
Similarly, after climbing fourth step, climber would have covered ( 45 + 17.5 )cm = 62.5 cm.
Similarly, after climbing fifth step, climber would have covered ( 62.5 + 17.5 )cm = 80 cm.
Similarly, we can find the distance climber have climbed for further more steps.
Answer
10, 27.5, 45, 62.5, 80, ...........
Learn More :-
A sequence with same common difference between its consecutive terms is known as Arithmetic Progression.
For example,
10, 27.5, 45, 62.5, 80
We can clearly see that difference between two terms is ( 27.5 - 10 ) = 17.5
( 62.5 - 45 ) = 17.5