The 26th, 11th and the last term of an AP are 0, 3 and -1/5 , respectively. Find the common difference and the number of terms.
Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is 20.
The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, find the AP.
Justify whether it is true to say that the following are the nth terms of an AP.
(i) 2n–3 (ii) 3n2+5 (iii) 1+ n + n2
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.
(i) The fee charged from a student every month by a school for the whole ses- sion, when the monthly fee is Rs 400.
(ii) The fee charged every month by a school from Classes I to XII, when the monthly fee for Class I is Rs 250, and it increases by Rs 50 for the next higher class.
(iii) The amount of money in the account of Varun at the end of every year when Rs 1000 is deposited at simple interest of 10% per annum.
(iv) The number of bacteria in a certain food item after each second, when they double in every second.
The taxi fare after each km, when the fare is Rs 15 for the first km and Rs 8 for each additional km, does not form an AP as the total fare (in Rs) after each km is
15, 8, 8, 8, …
Is the statement true? Give reasons.
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