IBEW Aptitude Test Number Sequences and Functions Questions and Answers 3

Question 1

Find the 10th term of the arithmetic sequence: 5, 8, 11, 14, ...

Accepted Answer

32

Answer

a_n = a_1 + (n-1)d = 5 + (10-1)×3 = 5 + 27 = 32.

Question 2

If f(x) = 4x - 7 and f(a) = 17, what is the value of a?

Accepted Answer

6

Answer

4a - 7 = 17. 4a = 24. a = 6.

Question 3

What type of sequence is: 5, 10, 20, 40, 80?

Accepted Answer

Geometric sequence with r=2

Answer

Each term is multiplied by 2, making this a geometric sequence with common ratio r=2.

Question 4

If h(x) = (x + 3)/2, what is h(11)?

Accepted Answer

7

Answer

h(11) = (11 + 3)/2 = 14/2 = 7.

Question 5

The sum of the first 5 terms of an arithmetic sequence is 65. If the first term is 5, what is the common difference?

Accepted Answer

4

Answer

S_n = n/2 × (2a + (n-1)d). 65 = 2.5 × (10 + 4d). 26 = 10 + 4d. 4d = 16. d = 4.

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