In the sequence 200, 188, 171, x, 122, the differences are -12, -17, -22, -27. What will x be?
Answer and explanation
Correct answer: 149
Use the stated successive differences in order. Starting from 171, the next term is obtained by adding -22, so x = 171 - 22 = 149. Checking the final step gives 149 + (-27) = 122, which agrees with the last given term. Therefore option A is correct; the other options fail this verification or mishandle the negative differences.
Frequently asked questions
What is the correct answer to this question?
149
Why is this the correct answer?
Use the stated successive differences in order. Starting from 171, the next term is obtained by adding -22, so x = 171 - 22 = 149. Checking the final step gives 149 + (-27) = 122, which agrees with the last given term. Therefore option A is correct; the other options fail this verification or mishandle the negative differences.
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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