Sequences and ProgressionsPractice Questions & MCQs

Q1. In an AP with first term -2 and common difference 3, which term has the value 85?

• A.30
• B.29
• C.28
• D.31

Answer: A. 30

Q2. In an arithmetic progression the first term is 3 and the common difference is 5. Find the 5th term.

• A.23
• B.28
• C.8
• D.24

Answer: A. 23

Given 3, 5, 5, asked for Find the 5th term. By a_n = a + (n-1)d. a_n = a + (n-1)d → a_5 = 3 + 4·.5 = 3 + 20 = 23. Therefore option A) 23. Others fail: option B) '28' doesn't hold - 5th term uses (n-1) = 4, not 5; option C) '8' misses the point - That's the 2nd term.

Q3. In an arithmetic progression the first term is 7 and the common difference is 4. Find the 5th term.

• A.23
• B.27
• C.11
• D.24

Answer: A. 23

Given 7, 4, 5, asked for Find the 5th term. By a_n = a + (n-1)d. a_n = a + (n-1)d → a_5 = 7 + 4·.4 = 7 + 16 = 23. Putting it together option A) 23. Others fail: option B) '27' misses the point - 5th term uses (n-1) = 4, not 5; option C) '11' is incorrect: That's the 2nd term.