Sequences

The terms of the sequence are 11, 22, 33, and 44 in order. Therefore, the fourth term is 44. The number 55 would be the next, or fifth, term. In exams, count term positions starting from the first term.

In this sequence, each term is 3 greater than the preceding term: 6, 9, 12, 15. Therefore, 15 + 3 = 18, so 18 is correct. Choosing 17 would give a difference of 2, which does not match the constant difference in the sequence. Exam tip: Find the difference between consecutive terms to identify the next term.

Each term in the sequence is 4 less than the preceding term: 28, 24, 20, 16. Therefore, 16 - 4 = 12, so 12 is correct. Choosing 14 would give a difference of only 2, which does not match the pattern. Exam tip: Find the difference between consecutive terms to identify the pattern.

The common difference between consecutive terms is 5: 18 − 13 = 5 and 23 − 18 = 5. Therefore, adding 5 to the fourth term, 28, gives the fifth term as 33. Option 32 would result from adding only 4, so it is incorrect. Exam tip: Check the difference between consecutive terms before finding the next term.

Each term is 10 less than the preceding term: 90, 80, 70, 60. Therefore, 60 - 10 = 50, so the correct answer is 50. Choosing 45 would give a difference of 15, which does not match the common difference in the sequence. Exam tip: Find the difference between consecutive terms to identify the next term quickly.

The terms of the sequence are 2, 7, 12, and 17 in order. Therefore, the fourth term is 17. Here, 12 is the third term, while 22 would be the next, or fifth, term. Exam tip: When asked for a term number in a sequence, count the terms from left to right.

The difference between each pair of consecutive terms is 5: 30−25=5, 35−30=5, and 40−35=5. Therefore, adding 5 to 40 gives the next term, 45. Option 44 is not correct because it would give a difference of 4. Exam tip: To find the next term, first check the difference between consecutive terms.

Each term is 3 less than the preceding term: 18, 15, 12, 9. Therefore, subtracting 3 from 9 gives the next term as 6. Choosing 7 would give a difference of 2, which does not match the constant difference in the sequence. Exam tip: Compare consecutive terms to identify the pattern before finding the next term.

Each successive term is obtained by adding 5: 4, 9, 14, 19, 24. Therefore, the fifth term is 24. The number 25 would be the next (sixth) term. Exam tip: Write and count the terms in order to avoid mistakes in sequence questions.

Each successive term decreases by 4: 32, 28, 24, 20, 16. Therefore, the fifth term is 16. Getting 18 would require subtracting only 2 from 20, which does not follow the common difference of the sequence. Exam tip: Find the difference between consecutive terms first, then continue the same pattern.

Each term in the sequence is 5 more than the previous term: 1, 6, 11, 16. Therefore, the next term is \(16+5=21\). Choosing 20 would give a difference of 4, which does not match the common difference of the given sequence. Exam tip: Find the difference between consecutive terms to identify the pattern.

Each term in the sequence is 5 less than the preceding term: 70, 65, 60, 55. Therefore, 55 - 5 = 50, so 50 is the correct answer. Option 54 is only 1 less than 55 and does not follow the pattern. Exam tip: Find the difference between consecutive terms to identify the rule of a sequence.

Each successive term is obtained by adding 5: 3, 8, 13, 18, 23. Therefore, the fifth term is 23. Option 24 would result from adding 6 to 18, which does not follow the pattern. Exam tip: count the given terms in order and add the common difference for the next term.

Each successive term decreases by 6: 60, 54, 48, 42. Therefore, the next term is \(42-6=36\). Choosing 38 would mean a decrease of 4, which does not follow the pattern. Exam tip: Check the difference between consecutive terms before finding the next term.

This is an arithmetic sequence in which each successive term increases by 3. The terms are 8, 11, 14, 17, 20, 23. Therefore, the sixth term is 23. Option 20 is the fifth term, so it is a close but incorrect distractor. Exam tip: Write the terms in order and count their positions carefully.

Each successive term is 5 less than the previous term: 45, 40, 35, 30, 25. Therefore, the fifth term is 25. The number 30 is the fourth term, so it is not correct. Exam tip: Write the term numbers while counting to avoid such errors.

Each term is obtained by adding 5 to the previous term: 10, 15, 20, 25. Therefore, the term after 25 is \(25+5=30\). Choosing 28 or 29 would not maintain the common difference of 5. Exam tip: Find the difference between consecutive terms to identify the next term in a sequence.

Each successive term is 2 less than the preceding term: 26, 24, 22, 20. Therefore, 20 - 2 = 18, so 18 is the correct answer. 19 is not correct because it is only 1 less than 20. Exam tip: Find the difference between consecutive terms to identify the next term in a sequence.

Each successive term is 6 greater than the previous term: 12, 18, 24, 30, 36. Therefore, the fifth term is 36. Choosing 34 would not follow the common difference of 6. Exam tip: List the terms in order and count their positions to avoid confusing the fourth and fifth terms.

Each term is 9 less than the previous term: 81, 72, 63, 54. Therefore, the next term is \(54-9=45\). Choosing 48 would mean a decrease of 6, whereas the common difference in the sequence is 9. Exam tip: Find the difference between consecutive terms to identify the pattern.