Question

If nth term of an A.P. is 5n - 6, then its common difference is :

The nth term of a sequence is given by aₙ = n(n + 1)(2n + 1)/6. Write the first three terms of the sequence. Does this sequence form an A.P. ? Justify your answer.

If 4/5, k, 2 are three consecutive terms of an A.P., then find the value of k.

Do you know old clothes which are thrown as waste not only fill the landfill site but also produce very harmful greenhouse gas. So, it is very important that we reuse old clothes in whatever way we can. The picture given below on the right, shows a footmat (rug) made out of old t-shirts yarn. Observing the picture, you will notice that a number of stitches in circular rows are making a pattern : 6, 12, 18, 24, ...