Finding the General Term of a Sequence

What is the general term of the arithmetic sequence 3, 7, 11, 15, ...?

• an = 2n + 1

• an = 4n - 1

• an = 3n + 1

• an = 4n + 1

Find the nth term of the geometric sequence 2, 6, 18, 54, ...?

• 2 * (n^2)

• 2 * (n+1)

• 2 * (n-1)

• 2 * 3^(n-1)

Determine the general term of the sequence 1, 4, 9, 16, ...?

• n+2

• 2n

• n^2

• n^3

What is the nth term of the Fibonacci sequence?

• Fn = Fn-1 * Fn-2

• Fn = Fn-1 - Fn-2

• Fn = Fn-1 / Fn-2

• Fn = Fn-1 + Fn-2

Find the general term of the sequence 2, 5, 10, 17, ...?

• 2 + (n-1)^2

• 2 + (n-2)^2

• 2 + (n+1)^2

• 2 + (n-1)^3

What is the formula for finding the nth term of an arithmetic sequence?

• an = a1 + nd

• an = a1 + (n-1)d

• an = a1 + (n+1)d

• an = a1 - (n-1)d

Determine the general term of the sequence 1, -2, 4, -8, ...?

• (-1)^n * 2^n

• (-2)^(n-1)

• (-2)^(n+1)

• (-1)^(n+1) * 2^n

Find the nth term of the sequence 1, 3, 6, 10, ...?

• nth term = 1 + (n-1) * 4

• nth term = 1 + (n-1) * 5

• nth term = 1 + (n-1) * 2

• nth term = 1 + (n-1) * 3

What is the formula for finding the nth term of a geometric sequence?

• a * r^(n-1)

• a * r^(n+1)

• a * r^n

• a * r^(n-2)

Determine the general term of the sequence 2, 4, 8, 16, ...?

• n^2

• 2n

• n+2

• 2^n