In the sequence (5,12,x,50,85), the successive differences are (7,15,23,35). What is the value of (x)?
Answer and explanation
Correct answer: 27
The difference between the second and third terms is 15, so x = 12 + 15 = 27. Checking it, 50 - 27 = 23, which matches the next given difference. Hence, 27 is correct; if x were 30, the next difference would be 20, not 23. Exam tip: after finding a missing term, verify it using the differences on both sides.
Frequently asked questions
What is the correct answer to this question?
27
Why is this the correct answer?
The difference between the second and third terms is 15, so x = 12 + 15 = 27. Checking it, 50 - 27 = 23, which matches the next given difference. Hence, 27 is correct; if x were 30, the next difference would be 20, not 23. Exam tip: after finding a missing term, verify it using the differences on both sides.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.
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