#### A sequence a_1, a_2, a_3......... is defined by a_1 = k , a_{n+1} = 2a_n - 7 n ≥ 1,

Write down an expression for a_2 in terms of k

Anonymous

0

Write down an expression for a_2 in terms of k

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 are 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 values. And simplify

EXAMPLE: For an attempt to find the x_2

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