Krishna
0

Step 1: Make sure that the given set of numbers arranged in some particular order. Because the question says that the set of numbers in sequence.


Step 2; Explore the given rule

            EXAMPLE: x_{n+1} = ax_n - 3

            Succeeding term = a (preceding term) - 3


Step 3: According to the given rule substitute the (n)values.

[NOTE: To find the twenty-first term, replace n by 21. based up on the rule it(n) may change to lower value or higher value]


EXAMPLE: For an attempt to find the x_2 substitute n=1 in the given rule

x_{n+1} = ax_n - 3

x_2 = ax_1 - 3

Substitute the values x_1 [ take x_1 = 1 since n >1), Some times it mention

in the question]

x_ 2 = a(1) - 3

x_2 = a – 3


Step 4: Simplify further


Step 5: Repeat the same steps to calculate any other terms in terms of k