# Find the Indicated Terms in the Following Sequences Whose Nth Terms Are: An = (N − 1) (2 − N) (3 + N); A1, A2, A3 - Mathematics

Find the indicated terms in the following sequences whose nth terms are:

an = (n − 1) (2 − n) (3 + n); a1, a2, a3

#### Solution

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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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.1 | Q 2.4 | Page 5