Question

URGENT! WILL GIVE BRAINLIEST!!

Answer 1

Answer:

Option C is incorrect.

Step-by-step explanation:

An infinite series is given by m + b, 2m + b, 3m + b, 4m + b, ... .

A) The above sequence is given by f(x) = mx + b for x = {1, 2, 3, ......}

For, x = 1, f(x) = m + b

For, x = 2, f(x) = 2m + b

.............

So, this is a valid definition of the above sequence.

B) The above sequence is given by f(x) = 2m + b + m(x - 2) for x = {1, 2, 3, ......}

For, x = 1, f(x) = 2m + b - m = m + b

For, x = 2, f(x) = 2m + b + 0 = 2m + b

.............

So, this is a valid definition of the above sequence.

C) The above sequence is given by $a_{n} = m - b + m(n - 1)$ for n = {1, 2, 3, ......}

For, n = 1, $a_{1} = m - b + m(1 - 1) = m - b$

For, n = 2, $a_{2} = m - b + m(2 - 1) = 2m - b$

.............

So, this is not a valid definition of the above sequence.

D)  The above sequence is given by$a_{1} = m + b$ and $a_{n + 1} = a_{n} + m$ for n = {1, 2, 3, .........}

For, n = 1, $a_{1} = m + b$

For, n = 2, $a_{2} = a_{1} + m = (m + b) + m = 2m + b$

.............

So, this is a valid definition of the above sequence.

Therefore, option C is incorrect. (Answer)