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Write the common difference of the arith...

Write the common difference of the arithmetic progression whose nth term is
a] `n^(2) + 5`
b] `2n^(2) -6`

Text Solution

Verified by Experts

The correct Answer is:
a] `a_(n) = n^(2) 5`
`a_(1) = 1^(2) + 5=1 +5 =6`
`a_(2) = 2^(2) + 5=4 +5 =9`
`d=a_(2) -a_(1)= 9 -6 =3`
b] `a= 2n^(2) -6`
`a_(1) = 2(1)^(2) -6 =2 =-4`
`a_(2) = 2 (2)^(2) -6 =8 -6 =2`.
`d=a_(2) - a_(1) = 2- (-4)=6`
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