Mathematics
Can 2n2 - 7 be the nth term of an A.P. Explain.
AP
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Answer
Given,
an = 2n2 - 7
a1 = 2(1)2 - 7 = 2 - 7 = -5
a2 = 2(2)2 - 7 = 8 - 7 = 1
a3 = 2(3)2 - 7 = 18 - 7 = 11
Here, a2 - a1 = 1 - (-5) = 6 and a3 - a2 = 11 - 1 = 10.
Since, difference is not common.
Hence, 2n2 - 7 cannot be the nth term of an A.P.
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