Exploring Sequences and Series

Find the nth term of the sequence: 2, 5, 10, 17, ...

• n^2 - 1

• n^2 + 1

• n^2 + n

• 2n + 3

Determine the nth term of the series: 1, 4, 9, 16, ...

• 2n

• n+1

• n^3

• n^2

What is the nth term of the sequence: 3, 6, 11, 18, ...

• n^2 + 2n

• n^2 + 3n

• n^2 + n

• 2n + 3

Find the nth term for the sequence defined by: a_n = 2n + 1

• 2n + 1

• 2n - 1

• 3n + 1

• 2n + 2

Calculate the nth term of the series: 5, 10, 20, 40, ...

• 10 * 2^(n-1)

• 5 * 2^(n-1)

• 5 * 2^n

• 5 + 2^(n-1)

Identify the nth term of the sequence: 1, 1, 2, 3, 5, ...

• F(n) = 2F(n-1) for n > 1

• F(n) = F(n-1) + 2 for n > 2

• F(n) = F(n-1) + F(n-2) for n > 2, with F(1) = 1 and F(2) = 1.

• F(n) = F(n-1) - F(n-2) for n > 2

What is the nth term of the arithmetic sequence: 7, 12, 17, ...

• 3n + 5

• 4n + 3

• 6n + 1

• 5n + 2

Find the nth term of the geometric sequence: 3, 6, 12, 24, ...

• 3 * 2^n

• 12 * 2^(n-2)

• 6 * 2^(n-1)

• 3 * 2^(n-1)

Determine the nth term of the sequence: 1, 2, 4, 8, ...

• 2^(n-1)

• 3^(n-1)

• 2^n

• n^2

Calculate the nth term of the sequence: 10, 20, 30, ...

• 5n

• 15n

• 10n

• 20n