Example.1 Find the 9th term and the general term of the progression.
- The given sequence is clearly a G. P. with first term a = 1 and common ratio = r =
➢ Sum of Infinite G.P
If a G.P. has infinite terms and -1 < r < 1 or |x| < 1, then sum of infinite G.P is
Example.2 The inventor of the chess board suggested a reward of one grain of wheat for the first square, 2 grains for the second, 4 grains for the third and so on, doubling the number of the grains for subsequent squares. How many grains would have to be given to inventor? (There are 64 squares in the chess board).
- Required number of grains = 1 + 2 + 22 + 23 + ……. To 64 terms =
➢ Recurring Decimals as Fractions
Example.3 Find the value in fractions which is same as of