Sequences and functions

Question 1 of 10

The 3rd and 7th terms of an AP are 10 and 30. Find the sum of the first 10 terms.

Question 2 of 10

The 1st, 2nd and 3rd terms of a GP are k − 2, k and k + 3. Find k.

Question 3 of 10

The domain of f(x) = 1/(x − 2) excludes

Question 4 of 10

f(x) = 2x + 1 and g(x) = (x − 1)/2. Show that f and g are

Question 5 of 10

If f(x) = x² − 1, the range for x ∈ {0, 1, 2} is

Question 6 of 10

What is the domain of f(x) = 1/(x − 3)?

Question 7 of 10

The function f(x) = x² − 4x on the domain x ≥ 2 is

Question 8 of 10

If f(x) = 2x + 1 and g(x) = x², find g(f(1)).

Question 9 of 10

Find the sum of the first 10 terms of the geometric sequence 1, 2, 4, 8, …

Question 10 of 10

The 6th term of the GP 2, 6, 18, ... is