Question

5

Consider the arithmetic sequence below.
-9, -2, 5, 12,...
Given that the sequence is represented by the function an), determine the value of f(1) and find the common difference.
O A R1) = -2
Common difference : 7
OB.
f(1) = -9
Common difference: 7
О с.
R1) = -2
Common difference: -7
OD
R1)=-9
Common difference: -7

Answer 1

Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

`\begin{gathered}d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7\end{gathered}`

d=f(2)−f(1)=−2−(−9)=−2+9=7

d=f(3)−f(2)=5−(−2)=5+2=7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Answer 2

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

`d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7`

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7