If the nth terms of the two A.P.s 9, 7, 5, … and 24, 21, 18, … are the same, find the value of n. Also, find that term
Solution:
(i) How many two digit numbers are divisible by 3?
(ii) Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.
(iii) How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
Solution:
More Solutions:
- In an A.P. (with usual notations):
- The first term of an A.P. is 5, the last term is 45 and the sum is 400.
- How many terms of the A.P. 25, 22, 19, … are needed to give the sum 116
- Find the sum of first 22 terms, of an A.P. in which d = 7 and a22 is 149.
- If the sum of the first 6 terms of an A.P. is 36.
- If an = 3 – 4n, show that a1, a2, a3, … form an A.P.