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Is the sequence, whose general term is 5n2 + 2n + 3 an AP?
- a)No
- b)Insufficent information
- c)Yes
- d)Depends on n
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insuff...
We have the sequence 5n2+2n+3
It will be in AP if it satisfies an-an-1=d where d is a constant.
Here, an=5n2+2n+3
And, an-1=5(n-1)2+2(n-1)+3=5(n2+1-2n)+2n-2+3
=5n2+5-10n+2n+1=5n2-8n+6
an-an-1=5n2+2n+3-(5n2-8n+6)
=5n2+2n+3-5n2+8n-6
=10n-3, which depends on a variable , so its not constant.
It will be in AP if it satisfies an-an-1=d where d is a constant.
Here, an=5n2+2n+3
And, an-1=5(n-1)2+2(n-1)+3=5(n2+1-2n)+2n-2+3
=5n2+5-10n+2n+1=5n2-8n+6
an-an-1=5n2+2n+3-(5n2-8n+6)
=5n2+2n+3-5n2+8n-6
=10n-3, which depends on a variable , so its not constant.
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Community Answer
Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insuff...
We know difference between 2 terms must be equal but here 2n-5n2 is not equal to 3-2n...so they r not in a.p
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Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insufficent informationc)Yesd)Depends on nCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insufficent informationc)Yesd)Depends on nCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insufficent informationc)Yesd)Depends on nCorrect answer is option 'A'. Can you explain this answer?.
Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insufficent informationc)Yesd)Depends on nCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insufficent informationc)Yesd)Depends on nCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is the sequence, whose general term is 5n2 + 2n + 3 an AP?a)Nob)Insufficent informationc)Yesd)Depends on nCorrect answer is option 'A'. Can you explain this answer?.
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