Q. 7 C5.0( 1 Vote )

In which of the following situations does the list of numbers involved arithmetic progression, and why?

The lengths of the rungs of a ladder when the bottom rung is 45cm, and length of rungs decrease by 2 cm from bottom to top.

Answer :

The length of the bottom rung = 45cm

According to the question,

Length of rungs decreases by 2cm from bottom to top. The lengths (in cm) of the 1st, 2nd, 3rd, … from the bottom to top respectively are 45, 43, 41, …

Difference between 2nd and 1st term = 43 – 45 = -2

Difference between 3rd and 2nd term = 41 – 43 = -2

Since, the difference is same.

Hence, the length of the rungs form an AP with a = 45cm and d = -2 cm.

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