Question

2)

Which TWO define the same sequence?
A)
f(x) = 7x – 15 for x = {1, 2, 3, ...}
B)
f(x) = 7x – 22 for x = {1, 2, 3, ...}
f(x) = 7x - 29 for x = {1, 2, 3, ...}
D)
a1 = -22 and an + 1 = a + 7 for n = {1, 2, 3, ...}
E)
a1 = -29 and an + 1 = a + 7 for n = {1, 2, 3, ...}

Answer 1

Options B and C define the same sequence with the formula f(x) = 7x - 29.

Step-by-step explanation:

To determine which two options define the same sequence, we need to compare the formulas and values given for each option.

A) f(x) = 7x – 15 for x = {1, 2, 3, ...}

B) f(x) = 7x – 22 for x = {1, 2, 3, ...}
f(x) = 7x - 29 for x = {1, 2, 3, ...}

D) a1 = -22 and an + 1 = a + 7 for n = {1, 2, 3, ...}

E) a1 = -29 and an + 1 = a + 7 for n = {1, 2, 3, ...}

Option B and C define the same sequence because they have the same formula: f(x) = 7x - 29. Both options indicate that the sequence starts with an initial value of -29 and each subsequent term is obtained by adding 7 to the previous term.

Answer 2

9514 1404 393

Answer:

C, D

Step-by-step explanation:

It can work to see what sequence each defines:

A) -8, -1, 6, ...

B) -15, -8, -1, ...

C) -22, -15, -8, ...

D) -22, -15, -8, ... . . . . matches C

E) -29, -22, -15, ...

The two that define the same sequence are ...

C) f(x) = 7x -29

D) a1 = -22, a(n+1) = an +7