#### The sequence u_1, u_2, u_3, ... , is defined by the recurrence relation u_{n+1} = (-1)^n u_n + d, u_1 =2, where d is a constant.

Deduce an expression for u_{10}, in terms of d

Anonymous

0

Deduce an expression for u_{10}, in terms of d

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