IBEW Number Sequences and Functions 2

Question 1

For the function f(x) = 3x - 7, what is f(5)?

Accepted Answer

8

Answer

f(5) = 3(5) - 7 = 15 - 7 = 8.

Question 2

Find the next term in the arithmetic sequence: 11, 17, 23, 29, ___?

Accepted Answer

35

Answer

Common difference = 6. Next term = 29 + 6 = 35.

Question 3

If g(x) = x² + 2x - 3, what is g(3)?

Accepted Answer

12

Answer

g(3) = (3)² + 2(3) - 3 = 9 + 6 - 3 = 12.

Question 4

What is the 10th term of the arithmetic sequence starting at 4 with a common difference of 7?

Accepted Answer

67

Answer

a_n = a_1 + (n-1)d = 4 + (10-1)(7) = 4 + 63 = 67.

Question 5

A geometric sequence has first term 6 and common ratio 3. What is the 4th term?

Accepted Answer

162

Answer

a_n = a_1 × r^(n-1) = 6 × 3³ = 6 × 27 = 162.

IBEW - Aptitude Test Practice Test