Is the sequence- whose general term is 5 n2-2 n-3 an AP-

The correct option is D Noan = 5n2 + 2n + 3 a1 = 5(1)+2 (1)+3 = 10 a2= 5(4) +2(2) +3 = 27 a3 = 5(9) +2(3) +3 = 54 Difference = 54 – 27 = 27; 27 – 10 = 17 Diff ...

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Standard X

Mathematics

nth Term of an AP

Is the sequen...

Question

Is the sequence, whose general term is 5n² + 2n + 3 an AP?

Depends on n

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Insufficent information

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Yes

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Solution

The correct option is B
No

a_n = 5n² + 2n + 3

a₁ = 5(1)+2 (1)+3 = 10

a₂= 5(4) +2(2) +3 = 27

a₃ = 5(9) +2(3) +3 = 54

Difference = 54 – 27 = 27; 27 – 10 = 17

Difference between consecutive terms is not the same.

So, the sequence is not an AP

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Is the sequence, whose general term is 5n2 + 2n + 3 an AP?

The correct option is B Noan = 5n2 + 2n + 3 a1 = 5(1)+2 (1)+3 = 10 a2= 5(4) +2(2) +3 = 27 a3 = 5(9) +2(3) +3 = 54 Difference = 54 – 27 = 27; 27 – 10 = 17 Difference between consecutive terms is not the same. So, the sequence is not an AP

Is the sequence, whose general term is 5n² + 2n + 3 an AP?

The correct option is B
No

a_n = 5n² + 2n + 3

a₁ = 5(1)+2 (1)+3 = 10

a₂= 5(4) +2(2) +3 = 27

a₃ = 5(9) +2(3) +3 = 54

Difference = 54 – 27 = 27; 27 – 10 = 17

Difference between consecutive terms is not the same.

So, the sequence is not an AP