Chapter 8
Predicting What Comes Next: Exploring Sequences and Progressions
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

Can you find the rule describing the nthn^{\text{th}} term of the sequence of square numbers?                              [Page No. 177]

Answer: Verified

The sequence of square numbers has the explicit formula tn=n2t_n = n^2.

This means that the nth term is obtained by squaring its position number nn.

For example, t5=52=25t_5 = 5^2 = 25.

Similarly, t8=82=64t_8 = 8^2 = 64, t10=102=100t_{10} = 10^2 = 100.

Thus, the sequence of square numbers is 1, 4, 9, 16, 25, 36, ... and each term is given directly by tn=n2t_n = n^2.

Download Free PDF
(All Q's of this Chapter solved)
More NCERT Questions