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प्रश्न
Find the indicated terms in the following sequences whose nth terms are:
an = (n − 1) (2 − n) (3 + n); a1, a2, a3
उत्तर
an = (n − 1) (2 − n) (3 + n)
We need to find `a_1, a_2, and a_3`
Now, to find `a_1` term we use n = 1 we get
`a_1 = (1 - 1)(2- 1)(3 + 1)`
= (0)(1)(4)
= 0
Also to find `a_2` term we use n = 2 we get
`a_2 = (2 - 1)(2 - 2)(3 + 2)`
= (1)(0)(5)
= 0
Similarly, to find `a_3` term we use n = 3 we get
`a_3 = (3 -1)(2 - 3)(3 + 3)`
= (2)(-1)(6)
= -12
Thus `a_1 = 0, a_2 = 0` and `a_3 = -12`
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