Question

Write the next four terms of the following sequence.

(a) 5, 7, 9, 11, ………

(b)

(c)

(d) 4, −4, 4, −4, …….

Answer 1

(a) 5, 7, 9, 11, ………

It can be seen in the given sequence that each successive term is obtained by adding 2 to the previous term.

Therefore, the next four terms of the given sequence can be obtained by adding 2 successively.

This can be done as follows:

Thus, the next four terms of the sequence 5, 7, 9, 11, ……… are 13, 15, 17 and 19.

(b)

It can be seen in the given sequence that each successive term is obtained by dividing the previous term by 2.

Therefore, the next four terms of the given sequence can be obtained on dividing by 2 successively.

This can be done as follows:

Thus, the next four terms of the sequence are

(c)

It can be seen that the terms in the given sequence are obtained by dividing 2 by 2 − 1, 3 by 3 − 1, 4 by 4 − 1 and so on.

Therefore, the next four terms of the given sequence can be obtained by following the same pattern.

This can be done as follows:

Thus, the next four terms of the sequence are

(d) 4, −4, 4, −4, ………

It can be seen that the terms in the given sequence are obtained by writing 4 and −4 alternately.

Therefore, the next four terms of the given sequence can be obtained by following the same pattern.

This can be done as follows:

Thus, the next four terms of the sequence 4, −4, 4, −4, ……… are 4, −4, 4 and −4.