NCERT Book Class 10 Maths Arithmetic Progressions

You must have observed that in nature, many things follow a certain pattern, such as the petals of a sunflower, the holes of a honeycomb, the grains on a maize cob, the spirals on a pineapple and on a pine cone etc.
We now look for some patterns which occur in our day-to-day life. Some such examples are :
(i) Reena applied for a job and got selected. She has been offered a job with a starting monthly salary of Rs 8000, with an annual increment of Rs 500 in her salary. Her salary (in Rs) for the 1st, 2nd, 3rd, . . . years will be, respectively 8000, 8500, 9000, . . . .

(ii) The lengths of the rungs of a ladder decrease uniformly by 2 cm from bottom to top (see Fig. 5.1). The bottom rung is 45 cm in length. The lengths (in cm) of the 1st, 2nd, 3rd, . . ., 8th rung from the bottom to the top are, respectively 45, 43, 41, 39, 37, 35, 33, 31
(iii) In a savings scheme, the amount becomes 5/4 times of itself after every 3 years. The maturity amount (in Rs) of an investment of Rs 8000 after 3, 6, 9 and 12 years will be, respectively : 10000, 12500, 15625, 19531.25

Please refer to attached file for NCERT Class 10 Maths Arithmetic Progressions