Question

Match the sequence written in general form in Column A with the corresponding first three terms in Column B.

COLUMN A

an = n + 5
an = 4n - 1
an = 2n^2
an = 5 – 2n
an = 3 – 5n
COLUMN B
A. 3, 7, 11
B. -2, -7, -12
C. 2, 8, 18
D. 6, 7, 8
E. 3, 2, -2
F. 3, 1, -1

Options:
Option 1: 1 - D, 2 - A, 3 - C, 4 - E, 5 - F
Option 2: 1 - F, 2 - D, 3 - C, 4 - B, 5 - A
Option 3: 1 - A, 2 - B, 3 - C, 4 - E, 5 - F
Option 4: 1 - D, 2 - A, 3 - E, 4 - C, 5 - B

Answer 1

The correct matching is Option 3: 1 - A, 2 - B, 3 - C, 4 - E, 5 - F.

Step-by-step explanation:

The correct matching of the sequence written in general form in Column A with the corresponding first three terms in Column B is Option 3: 1 - A, 2 - B, 3 - C, 4 - E, 5 - F.

Let's break down each option:

1. An = n + 5 matches with the first three terms 6, 7, 8, which is option A.
2. An = 4n - 1 matches with the first three terms -2, -7, -12, which is option B.
3. An = 2n^2 matches with the first three terms 2, 8, 18, which is option C.
4. An = 5 - 2n matches with the first three terms 3, 2, -2, which is option E.
5. An = 3 - 5n matches with the first three terms 3, 1, -1, which is option F.

Therefore, the correct matching is Option 3: 1 - A, 2 - B, 3 - C, 4 - E, 5 - F.